Motivic cohomology with 𝐙/2-coefficients
Publications Mathématiques de l'IHÉS, Tome 98 (2003), pp. 59-104.
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Voevodsky, Vladimir. Motivic cohomology with $\mathbf {Z}/2$-coefficients. Publications Mathématiques de l'IHÉS, Tome 98 (2003), pp. 59-104. doi : 10.1007/s10240-003-0010-6. https://www.numdam.org/articles/10.1007/s10240-003-0010-6/

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  • Benoist, Olivier On Hilbert’s 17th problem in low degree, Algebra Number Theory, Volume 11 (2017) no. 4, p. 929 | DOI:10.2140/ant.2017.11.929
  • Wilson, Glen Matthew; Østvær, Paul Two-complete stable motivic stems over finite fields, Algebraic Geometric Topology, Volume 17 (2017) no. 2, p. 1059 | DOI:10.2140/agt.2017.17.1059
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  • Gille, Stefan; Scully, Stephen; Zhong, Changlong Milnor–Witt K-groups of local rings, Advances in Mathematics, Volume 286 (2016), p. 729 | DOI:10.1016/j.aim.2015.09.014
  • Nguyen, Dinh Huu Standard norm varieties for Milnor symbols mod p, Annals of K-Theory, Volume 1 (2016) no. 4, p. 457 | DOI:10.2140/akt.2016.1.457
  • Jannsen, Uwe Hasse principles for higher-dimensional fields, Annals of Mathematics, Volume 183 (2016) no. 1, p. 1 | DOI:10.4007/annals.2016.183.1.1
  • Krashen, Daniel Period and index, symbol lengths, and generic splittings in Galois cohomology, Bulletin of the London Mathematical Society, Volume 48 (2016) no. 6, p. 985 | DOI:10.1112/blms/bdw060
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  • Asok, Aravind; Doran, Brent; Fasel, Jean Smooth Models of Motivic Spheres and the Clutching Construction, International Mathematics Research Notices (2016), p. rnw065 | DOI:10.1093/imrn/rnw065
  • Rosenschon, Andreas; Srinivas, V. ÉTALE MOTIVIC COHOMOLOGY AND ALGEBRAIC CYCLES, Journal of the Institute of Mathematics of Jussieu, Volume 15 (2016) no. 3, p. 511 | DOI:10.1017/s1474748014000401
  • YAGITA, Nobuaki CHOW RING AND BP-THEORY OF THE EXTRASPECIAL 2-GROUP OF ORDER 32, Kyushu Journal of Mathematics, Volume 70 (2016) no. 2, p. 227 | DOI:10.2206/kyushujm.70.227
  • Asok, A.; Fasel, J. Comparing Euler Classes, The Quarterly Journal of Mathematics (2016) | DOI:10.1093/qmath/haw033
  • Berrick, A.J.; Karoubi, M.; Schlichting, M.; Østvær, P.A. The Homotopy Fixed Point Theorem and the Quillen–Lichtenbaum conjecture in Hermitian K-theory, Advances in Mathematics, Volume 278 (2015), p. 34 | DOI:10.1016/j.aim.2015.01.018
  • Hoyois, Marc A quadratic refinement of the Grothendieck–Lefschetz–Verdier trace formula, Algebraic Geometric Topology, Volume 14 (2015) no. 6, p. 3603 | DOI:10.2140/agt.2014.14.3603
  • Zhou, Haiyan Higher Class Numbers in Extensions of Number Fields, Bulletin of the Malaysian Mathematical Sciences Society, Volume 38 (2015) no. 3, p. 897 | DOI:10.1007/s40840-014-0064-2
  • Efrat, Ido; Matzri, Eliyahu Vanishing of Massey Products and Brauer Groups, Canadian Mathematical Bulletin, Volume 58 (2015) no. 4, p. 730 | DOI:10.4153/cmb-2015-026-5
  • Guillou, Bertrand J.; Isaksen, Daniel C. The η-local motivic sphere, Journal of Pure and Applied Algebra, Volume 219 (2015) no. 10, p. 4728 | DOI:10.1016/j.jpaa.2015.03.004
  • Heller, Jeremiah; Krishna, Amalendu; Østvær, Paul Arne Motivic homotopy theory of group scheme actions, Journal of Topology, Volume 8 (2015) no. 4, p. 1202 | DOI:10.1112/jtopol/jtv030
  • Kolster, Manfred The Norm Residue Theorem and the Quillen-Lichtenbaum Conjecture, The Bloch–Kato Conjecture for the Riemann Zeta Function (2015), p. 97 | DOI:10.1017/cbo9781316163757.006
  • Asok, Aravind; Fasel, Jean A cohomological classification of vector bundles on smooth affine threefolds, Duke Mathematical Journal, Volume 163 (2014) no. 14 | DOI:10.1215/00127094-2819299
  • Guillot, Pierre; Mináč, Ján Milnor K-theory and the graded representation ring, Journal of K-theory, Volume 13 (2014) no. 3, p. 447 | DOI:10.1017/is014004004jkt261
  • Shinder, Evgeny On the motive of the group of units of a division algebra, Journal of K-theory, Volume 13 (2014) no. 3, p. 533 | DOI:10.1017/is014003007jkt258
  • Zibrowius, Marcus Witt groups of curves and surfaces, Mathematische Zeitschrift, Volume 278 (2014) no. 1-2, p. 191 | DOI:10.1007/s00209-014-1312-8
  • Bass, Hyman Milnor’s Work in Algebra and Its Ramifications, The Abel Prize 2008-2012 (2014), p. 361 | DOI:10.1007/978-3-642-39449-2_19
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  • Ormsby, Kyle M; Østvær, Paul Motivic Brown–Peterson invariants of the rationals, Geometry Topology, Volume 17 (2013) no. 3, p. 1671 | DOI:10.2140/gt.2013.17.1671
  • KITAJIMA, TAKAHIRO ON THE ORDERS OF EVEN K-GROUPS OF RINGS OF INTEGERS IN CYCLOTOMIC ℤp-EXTENSIONS OF ℚ, International Journal of Number Theory, Volume 09 (2013) no. 07, p. 1713 | DOI:10.1142/s1793042113500528
  • Fasel, Jean The projective bundle theorem for Ij-cohomology, Journal of K-Theory, Volume 11 (2013) no. 2, p. 413 | DOI:10.1017/is013002015jkt217
  • Hovey, Mark Quillen model categories, Journal of K-theory, Volume 11 (2013) no. 3, p. 469 | DOI:10.1017/is011012012jkt208
  • Banaszak, Grzegorz Wild kernels and divisibility in K-groups of global fields, Journal of Number Theory, Volume 133 (2013) no. 10, p. 3207 | DOI:10.1016/j.jnt.2013.02.016
  • Dundas, Bjørn Ian; Goodwillie, Thomas G.; McCarthy, Randy Algebraic K-Theory, The Local Structure of Algebraic K-Theory, Volume 18 (2013), p. 1 | DOI:10.1007/978-1-4471-4393-2_1
  • Dundas, Bjørn Ian; Goodwillie, Thomas G.; McCarthy, Randy The Comparison of K-Theory and TC, The Local Structure of Algebraic K-Theory, Volume 18 (2013), p. 281 | DOI:10.1007/978-1-4471-4393-2_7
  • Kahn, Bruno Classes de cycles motiviques étales, Algebra Number Theory, Volume 6 (2012) no. 7, p. 1369 | DOI:10.2140/ant.2012.6.1369
  • Colliot-Thélène, Jean-Louis; Voisin, Claire Cohomologie non ramifiée et conjecture de Hodge entière, Duke Mathematical Journal, Volume 161 (2012) no. 5 | DOI:10.1215/00127094-1548389
  • Jacobson, Jeremy Finiteness theorems for the shifted Witt and higher Grothendieck–Witt groups of arithmetic schemes, Journal of Algebra, Volume 351 (2012) no. 1, p. 254 | DOI:10.1016/j.jalgebra.2011.10.043
  • Jannsen, Uwe; Saito, Shuji Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field theory, Journal of Algebraic Geometry, Volume 21 (2012) no. 4, p. 683 | DOI:10.1090/s1056-3911-2012-00570-0
  • YAGITA, Nobuaki Chow rings of nonabelian p-groups of order p3, Journal of the Mathematical Society of Japan, Volume 64 (2012) no. 2 | DOI:10.2969/jmsj/06420507
  • YAGITA, Nobuaki NOTE ON THE MOD p MOTIVIC COHOMOLOGY OF ALGEBRAIC GROUPS, Kyushu Journal of Mathematics, Volume 66 (2012) no. 2, p. 245 | DOI:10.2206/kyushujm.66.245
  • KAMEKO, M.; TEZUKA, M.; YAGITA, N. Coniveau spectral sequences of classifying spaces for exceptional and Spin groups, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 152 (2012) no. 2, p. 251 | DOI:10.1017/s0305004111000545
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  • Fasel, Jean Stably free modules over smooth affine threefolds, Duke Mathematical Journal, Volume 156 (2011) no. 1 | DOI:10.1215/00127094-2010-065
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  • Weibel, Charles Bott Periodicity for group rings An Appendix to “Periodicity of Hermitian K-groups”, Journal of K-theory, Volume 7 (2011) no. 3, p. 495 | DOI:10.1017/is011004009jkt152
  • Hu, P.; Kriz, I.; Ormsby, K. Convergence of the Motivic Adams Spectral Sequence, Journal of K-theory, Volume 7 (2011) no. 3, p. 573 | DOI:10.1017/is011003012jkt150
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  • Isaksen, Daniel C.; Shkembi, Armira Motivic connectiveK-theories and the cohomology of A(1), Journal of K-theory, Volume 7 (2011) no. 3, p. 619 | DOI:10.1017/is011004009jkt154
  • Hill, Michael A. Ext and the motivic Steenrod algebra over R, Journal of Pure and Applied Algebra, Volume 215 (2011) no. 5, p. 715 | DOI:10.1016/j.jpaa.2010.06.017
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  • Dugger, Daniel; Isaksen, Daniel C The motivic Adams spectral sequence, Geometry Topology, Volume 14 (2010) no. 2, p. 967 | DOI:10.2140/gt.2010.14.967
  • Bayer-Fluckiger, E. Multiples of Trace Forms and Algebras with Involution, International Mathematics Research Notices (2010) | DOI:10.1093/imrn/rnm112
  • Gille, Stefan The Rost nilpotence theorem for geometrically rational surfaces, Inventiones mathematicae, Volume 181 (2010) no. 1, p. 1 | DOI:10.1007/s00222-010-0240-4
  • Jannsen, Uwe Weights in arithmetic geometry, Japanese Journal of Mathematics, Volume 5 (2010) no. 1, p. 73 | DOI:10.1007/s11537-010-0947-4
  • Voevodsky, Vladimir Motives over simplicial schemes, Journal of K-Theory, Volume 5 (2010) no. 1, p. 1 | DOI:10.1017/is010001030jkt107
  • Bondarko, M.V. Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general), Journal of K-theory, Volume 6 (2010) no. 3, p. 387 | DOI:10.1017/is010012005jkt083
  • Yagita, Nobuaki Motivic cohomology of quadrics and the coniveau spectral sequence, Journal of K-theory, Volume 6 (2010) no. 3, p. 547 | DOI:10.1017/is008008012jkt084
  • Sivatski, A.S. The Witt ring kernel for a fourth degree field extension and related problems, Journal of Pure and Applied Algebra, Volume 214 (2010) no. 1, p. 61 | DOI:10.1016/j.jpaa.2009.04.015
  • Merkurjev, Alexander; Suslin, Andrei Motivic cohomology of the simplicial motive of a Rost variety, Journal of Pure and Applied Algebra, Volume 214 (2010) no. 11, p. 2017 | DOI:10.1016/j.jpaa.2010.02.006
  • Kahn, Bruno; Levine, Marc Motives of Azumaya algebras, Journal of the Institute of Mathematics of Jussieu, Volume 9 (2010) no. 3, p. 481 | DOI:10.1017/s1474748010000022
  • Lemire, Nicole; Mináč, Ján; Schultz, Andrew; Swallow, John Hilbert 90 for Galois Cohomology, Communications in Algebra, Volume 38 (2009) no. 1, p. 361 | DOI:10.1080/00927870802570743
  • Kerz, Moritz The Gersten conjecture for Milnor K-theory, Inventiones mathematicae, Volume 175 (2009) no. 1, p. 1 | DOI:10.1007/s00222-008-0144-8
  • Nikolenko, S.; Semenov, N.; Zainoulline, K. Motivic decomposition of anisotropic varieties of type F4into generalized Rost motives, Journal of K-Theory, Volume 3 (2009) no. 1, p. 85 | DOI:10.1017/is008001021jkt046
  • Hazrat, Roozbeh; Vavilov, Nikolai Bak's work on theK-theory of rings, Journal of K-Theory, Volume 4 (2009) no. 1, p. 1 | DOI:10.1017/is008008012jkt087
  • Spiess, Michael; Yamazaki, Takao A counterexample to generalizations of the Milnor-Bloch-Kato conjecture, Journal of K-Theory, Volume 4 (2009) no. 1, p. 77 | DOI:10.1017/is008008014jkt066
  • Vial, Charles Operations in MilnorK-theory, Journal of Pure and Applied Algebra, Volume 213 (2009) no. 7, p. 1325 | DOI:10.1016/j.jpaa.2008.12.001
  • Weibel, C. The norm residue isomorphism theorem, Journal of Topology, Volume 2 (2009) no. 2, p. 346 | DOI:10.1112/jtopol/jtp013
  • Sato, Kanetomo ℓ-Adic class field theory for regular local rings, Mathematische Annalen, Volume 344 (2009) no. 2, p. 341 | DOI:10.1007/s00208-008-0309-1
  • Jardine, John F, New topological contexts for Galois theory and algebraic geometry (BIRS 2008) (2009), p. 151 | DOI:10.2140/gtm.2009.16.151
  • Chebolu, Sunil; Mináč, Ján, New topological contexts for Galois theory and algebraic geometry (BIRS 2008) (2009), p. 31 | DOI:10.2140/gtm.2009.16.31
  • Rosenschon, Andreas A note on morphic cohomology and algebraic cycles, K-Theory, Volume 38 (2008) no. 2, p. 235 | DOI:10.1007/s10977-007-9014-1
  • Röndigs, Oliver; Østvær, Paul Arne Rigidity in motivic homotopy theory, Mathematische Annalen, Volume 341 (2008) no. 3, p. 651 | DOI:10.1007/s00208-008-0208-5
  • Hornbostel, Jens Oriented Chow groups, Hermitian K-theory and the Gersten conjecture, manuscripta mathematica, Volume 125 (2008) no. 3, p. 273 | DOI:10.1007/s00229-007-0148-5
  • Calmès, Baptiste The group SK 2 of a biquaternion algebra, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2007 (2007) no. 605 | DOI:10.1515/crelle.2007.032
  • Lemire, Nicole; Mináč, Ján; Swallow, John Galois module structure of Galois cohomology and partial Euler-Poincaré characteristics, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2007 (2007) no. 613 | DOI:10.1515/crelle.2007.095
  • Gille, Stefan A graded Gersten–Witt complex for schemes with a dualizing complex and the Chow group, Journal of Pure and Applied Algebra, Volume 208 (2007) no. 2, p. 391 | DOI:10.1016/j.jpaa.2006.01.004
  • Kerz, Moritz; Müller-Stach, Stefan The Milnor–Chow homomorphism revisited, K-Theory, Volume 38 (2007) no. 1, p. 49 | DOI:10.1007/s10977-007-9006-1
  • Dwilewicz, Roman; Mináč, Ján; Schultz, Andrew; Swallow, John Hilbert 90 for Biquadratic Extensions, The American Mathematical Monthly, Volume 114 (2007) no. 7, p. 577 | DOI:10.1080/00029890.2007.11920448
  • Weibel, C. Higher wild kernels and divisibility in the K-theory of number fields, Journal of Pure and Applied Algebra, Volume 206 (2006) no. 1-2, p. 222 | DOI:10.1016/j.jpaa.2005.03.018
  • Suslin, Andrei; Joukhovitski, Seva Norm varieties, Journal of Pure and Applied Algebra, Volume 206 (2006) no. 1-2, p. 245 | DOI:10.1016/j.jpaa.2005.12.012
  • Hoobler, Raymond T. The Merkuriev–Suslin theorem for any semi-local ring, Journal of Pure and Applied Algebra, Volume 207 (2006) no. 3, p. 537 | DOI:10.1016/j.jpaa.2005.10.020
  • Positselski, Leonid Galois Cohomology of Certain Field Extensions and the Divisible Case of Milnor–Kato Conjecture, K-Theory, Volume 36 (2006) no. 1-2, p. 33 | DOI:10.1007/s10977-005-3119-1
  • Soulé, C.; Voisin, C. Torsion cohomology classes and algebraic cycles on complex projective manifolds, Advances in Mathematics, Volume 198 (2005) no. 1, p. 107 | DOI:10.1016/j.aim.2004.10.022
  • Parimala, R.; Suresh, V. On the length of a quadratic form, Algebra and Number Theory (2005), p. 147 | DOI:10.1007/978-93-86279-23-1_10
  • Geisser, Thomas H. Motivic Cohomology, K-Theory and Topological Cyclic Homology, Handbook of K-Theory (2005), p. 193 | DOI:10.1007/978-3-540-27855-9_6
  • Kahn, Bruno Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry, Handbook of K-Theory (2005), p. 351 | DOI:10.1007/978-3-540-27855-9_9
  • Levine, Marc Mixed Motives, Handbook of K-Theory (2005), p. 429 | DOI:10.1007/978-3-540-27855-9_10
  • Sato, Kanetomo Non-divisible cycles on surfaces over local fields, Journal of Number Theory, Volume 114 (2005) no. 2, p. 272 | DOI:10.1016/j.jnt.2004.08.015
  • Hasemeyer, Christian; Hornbostel, Jens Motives and Etale Motives with Finite Coefficients, K-Theory, Volume 34 (2005) no. 3, p. 195 | DOI:10.1007/s10977-005-1563-6
  • Yamazaki, Takao On Chow and Brauer groups of a product of Mumford curves, Mathematische Annalen, Volume 333 (2005) no. 3, p. 549 | DOI:10.1007/s00208-005-0675-x
  • Hu, Po On the Picard group of the stableA1-homotopy category, Topology, Volume 44 (2005) no. 3, p. 609 | DOI:10.1016/j.top.2004.12.001
  • Rosenschon, Andreas; Østvær, Paul Arne The homotopy limit problem for two-primary algebraic K-theory, Topology, Volume 44 (2005) no. 6, p. 1159 | DOI:10.1016/j.top.2005.04.004
  • Rosenschon, Andreas; Østvær, Paul Arne K-Theory of Surfaces at the Prime 2, K-Theory, Volume 33 (2004) no. 3, p. 215 | DOI:10.1007/s10977-004-5928-z
  • Geisser, Thomas Motivic cohomology over Dedekind rings, Mathematische Zeitschrift, Volume 248 (2004) no. 4, p. 773 | DOI:10.1007/s00209-004-0680-x
  • Calmès, Baptiste Le groupe SK2 d'une algèbre de biquaternions, Comptes Rendus. Mathématique, Volume 337 (2003) no. 1, p. 1 | DOI:10.1016/s1631-073x(03)00261-9
  • Voevodsky, Vladimir Reduced power operations in motivic cohomology, Publications mathématiques de l'IHÉS, Volume 98 (2003) no. 1, p. 1 | DOI:10.1007/s10240-003-0009-z

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