@article{PMIHES_2003__98__59_0, author = {Voevodsky, Vladimir}, title = {Motivic cohomology with $\mathbf {Z}/2$-coefficients}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {59--104}, publisher = {Springer}, volume = {98}, year = {2003}, doi = {10.1007/s10240-003-0010-6}, zbl = {1057.14028}, language = {en}, url = {https://www.numdam.org/articles/10.1007/s10240-003-0010-6/} }
TY - JOUR AU - Voevodsky, Vladimir TI - Motivic cohomology with $\mathbf {Z}/2$-coefficients JO - Publications Mathématiques de l'IHÉS PY - 2003 SP - 59 EP - 104 VL - 98 PB - Springer UR - https://www.numdam.org/articles/10.1007/s10240-003-0010-6/ DO - 10.1007/s10240-003-0010-6 LA - en ID - PMIHES_2003__98__59_0 ER -
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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- Vanishing of Massey Products and Brauer Groups, Canadian Mathematical Bulletin, Volume 58 (2015) no. 4, p. 730 | DOI:10.4153/cmb-2015-026-5
- 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
- Motivic homotopy theory of group scheme actions, Journal of Topology, Volume 8 (2015) no. 4, p. 1202 | DOI:10.1112/jtopol/jtv030
- 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
- A cohomological classification of vector bundles on smooth affine threefolds, Duke Mathematical Journal, Volume 163 (2014) no. 14 | DOI:10.1215/00127094-2819299
- Milnor K-theory and the graded representation ring, Journal of K-theory, Volume 13 (2014) no. 3, p. 447 | DOI:10.1017/is014004004jkt261
- 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
- Witt groups of curves and surfaces, Mathematische Zeitschrift, Volume 278 (2014) no. 1-2, p. 191 | DOI:10.1007/s00209-014-1312-8
- 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
- Mennicke symbols, 𝐾-cohomology and a Bass-Kubota theorem, Transactions of the American Mathematical Society, Volume 367 (2014) no. 1, p. 191 | DOI:10.1090/s0002-9947-2014-06011-x
- Rationality problems and conjectures of Milnor and Bloch–Kato, Compositio Mathematica, Volume 149 (2013) no. 8, p. 1312 | DOI:10.1112/s0010437x13007021
- Motivic Brown–Peterson invariants of the rationals, Geometry Topology, Volume 17 (2013) no. 3, p. 1671 | DOI:10.2140/gt.2013.17.1671
- 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
- The projective bundle theorem for Ij-cohomology, Journal of K-Theory, Volume 11 (2013) no. 2, p. 413 | DOI:10.1017/is013002015jkt217
- Quillen model categories, Journal of K-theory, Volume 11 (2013) no. 3, p. 469 | DOI:10.1017/is011012012jkt208
- 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
- Algebraic K-Theory, The Local Structure of Algebraic K-Theory, Volume 18 (2013), p. 1 | DOI:10.1007/978-1-4471-4393-2_1
- 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
- Classes de cycles motiviques étales, Algebra Number Theory, Volume 6 (2012) no. 7, p. 1369 | DOI:10.2140/ant.2012.6.1369
- Cohomologie non ramifiée et conjecture de Hodge entière, Duke Mathematical Journal, Volume 161 (2012) no. 5 | DOI:10.1215/00127094-1548389
- 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
- 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
- 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
- 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
- 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
- Quotients of absolute Galois groups which determine the entire Galois cohomology, Mathematische Annalen, Volume 352 (2012) no. 1, p. 205 | DOI:10.1007/s00208-011-0635-6
- On Stably Free Modules over Affine Algebras, Publications mathématiques de l'IHÉS, Volume 116 (2012) no. 1, p. 223 | DOI:10.1007/s10240-012-0041-y
- The homotopy limit problem for Hermitian K-theory, equivariant motivic homotopy theory and motivic Real cobordism, Advances in Mathematics, Volume 228 (2011) no. 1, p. 434 | DOI:10.1016/j.aim.2011.05.019
- On motivic cohomology with Z/l-coefficients, Annals of Mathematics, Volume 174 (2011) no. 1, p. 401 | DOI:10.4007/annals.2011.174.1.11
- Stably free modules over smooth affine threefolds, Duke Mathematical Journal, Volume 156 (2011) no. 1 | DOI:10.1215/00127094-2010-065
- Projective modules over the real algebraic sphere of dimension 3, Journal of Algebra, Volume 325 (2011) no. 1, p. 18 | DOI:10.1016/j.jalgebra.2010.09.039
- Periodicity of hermitianK-groups, Journal of K-theory, Volume 7 (2011) no. 3, p. 429 | DOI:10.1017/is011004009jkt151
- 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
- Convergence of the Motivic Adams Spectral Sequence, Journal of K-theory, Volume 7 (2011) no. 3, p. 573 | DOI:10.1017/is011003012jkt150
- Motivic invariants ofp-adic fields, Journal of K-theory, Volume 7 (2011) no. 3, p. 597 | DOI:10.1017/is011004017jkt153
- Motivic connectiveK-theories and the cohomology of A(1), Journal of K-theory, Volume 7 (2011) no. 3, p. 619 | DOI:10.1017/is011004009jkt154
- 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
- Higher Algebraic K-Theory (After Quillen, Thomason and Others), Topics in Algebraic and Topological K-Theory, Volume 2008 (2011), p. 167 | DOI:10.1007/978-3-642-15708-0_4
- The motivic Adams spectral sequence, Geometry Topology, Volume 14 (2010) no. 2, p. 967 | DOI:10.2140/gt.2010.14.967
- Multiples of Trace Forms and Algebras with Involution, International Mathematics Research Notices (2010) | DOI:10.1093/imrn/rnm112
- The Rost nilpotence theorem for geometrically rational surfaces, Inventiones mathematicae, Volume 181 (2010) no. 1, p. 1 | DOI:10.1007/s00222-010-0240-4
- Weights in arithmetic geometry, Japanese Journal of Mathematics, Volume 5 (2010) no. 1, p. 73 | DOI:10.1007/s11537-010-0947-4
- Motives over simplicial schemes, Journal of K-Theory, Volume 5 (2010) no. 1, p. 1 | DOI:10.1017/is010001030jkt107
- 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
- Motivic cohomology of quadrics and the coniveau spectral sequence, Journal of K-theory, Volume 6 (2010) no. 3, p. 547 | DOI:10.1017/is008008012jkt084
- 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
- 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
- Motives of Azumaya algebras, Journal of the Institute of Mathematics of Jussieu, Volume 9 (2010) no. 3, p. 481 | DOI:10.1017/s1474748010000022
- Hilbert 90 for Galois Cohomology, Communications in Algebra, Volume 38 (2009) no. 1, p. 361 | DOI:10.1080/00927870802570743
- The Gersten conjecture for Milnor K-theory, Inventiones mathematicae, Volume 175 (2009) no. 1, p. 1 | DOI:10.1007/s00222-008-0144-8
- 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
- Bak's work on theK-theory of rings, Journal of K-Theory, Volume 4 (2009) no. 1, p. 1 | DOI:10.1017/is008008012jkt087
- 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
- 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
- The norm residue isomorphism theorem, Journal of Topology, Volume 2 (2009) no. 2, p. 346 | DOI:10.1112/jtopol/jtp013
- 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
- , New topological contexts for Galois theory and algebraic geometry (BIRS 2008) (2009), p. 151 | DOI:10.2140/gtm.2009.16.151
- , New topological contexts for Galois theory and algebraic geometry (BIRS 2008) (2009), p. 31 | DOI:10.2140/gtm.2009.16.31
- A note on morphic cohomology and algebraic cycles, K-Theory, Volume 38 (2008) no. 2, p. 235 | DOI:10.1007/s10977-007-9014-1
- Rigidity in motivic homotopy theory, Mathematische Annalen, Volume 341 (2008) no. 3, p. 651 | DOI:10.1007/s00208-008-0208-5
- 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
- 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
- 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
- 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
- The Milnor–Chow homomorphism revisited, K-Theory, Volume 38 (2007) no. 1, p. 49 | DOI:10.1007/s10977-007-9006-1
- Hilbert 90 for Biquadratic Extensions, The American Mathematical Monthly, Volume 114 (2007) no. 7, p. 577 | DOI:10.1080/00029890.2007.11920448
- 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
- Norm varieties, Journal of Pure and Applied Algebra, Volume 206 (2006) no. 1-2, p. 245 | DOI:10.1016/j.jpaa.2005.12.012
- 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
- 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
- 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
- On the length of a quadratic form, Algebra and Number Theory (2005), p. 147 | DOI:10.1007/978-93-86279-23-1_10
- Motivic Cohomology, K-Theory and Topological Cyclic Homology, Handbook of K-Theory (2005), p. 193 | DOI:10.1007/978-3-540-27855-9_6
- Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry, Handbook of K-Theory (2005), p. 351 | DOI:10.1007/978-3-540-27855-9_9
- Mixed Motives, Handbook of K-Theory (2005), p. 429 | DOI:10.1007/978-3-540-27855-9_10
- 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
- Motives and Etale Motives with Finite Coefficients, K-Theory, Volume 34 (2005) no. 3, p. 195 | DOI:10.1007/s10977-005-1563-6
- 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
- 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
- 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
- K-Theory of Surfaces at the Prime 2, K-Theory, Volume 33 (2004) no. 3, p. 215 | DOI:10.1007/s10977-004-5928-z
- Motivic cohomology over Dedekind rings, Mathematische Zeitschrift, Volume 248 (2004) no. 4, p. 773 | DOI:10.1007/s00209-004-0680-x
- 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
- 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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