@article{ASENS_2004_4_37_6_973_0, author = {Karpenko, Nikita A.}, title = {Holes in ${I}^{n}$}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {973--1002}, publisher = {Elsevier}, volume = {Ser. 4, 37}, number = {6}, year = {2004}, doi = {10.1016/j.ansens.2004.07.002}, mrnumber = {2119244}, zbl = {1108.11037}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.ansens.2004.07.002/} }
TY - JOUR AU - Karpenko, Nikita A. TI - Holes in ${I}^{n}$ JO - Annales scientifiques de l'École Normale Supérieure PY - 2004 SP - 973 EP - 1002 VL - 37 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.ansens.2004.07.002/ DO - 10.1016/j.ansens.2004.07.002 LA - en ID - ASENS_2004_4_37_6_973_0 ER -
Karpenko, Nikita A. Holes in ${I}^{n}$. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 37 (2004) no. 6, pp. 973-1002. doi : 10.1016/j.ansens.2004.07.002. http://www.numdam.org/articles/10.1016/j.ansens.2004.07.002/
[1] Beweis des Krullschen Durchschnittsatzes für den Wittring, Invent. Math. 12 (1971) 173-176. | MR | Zbl
, ,[2] Steenrod operations in Chow theory, Trans. Amer. Math. Soc. 355 (5) (2003) 1869-1903. | MR | Zbl
,[3] A short proof of Rost nilpotence via refined correspondences, Doc. Math. 8 (2003) 69-78. | MR | Zbl
,[4] Chernousov V., Gille S., Merkurjev A., Motivic decomposition of isotropic projective homogeneous varieties, Duke Math. J. (in press). | MR | Zbl
[5] Intersection Theory, Springer, Berlin, 1984. | MR | Zbl
,[6] On the dimensions of anisotropic quadratic forms in , Invent. Math. 31 (1998) 185-198. | MR | Zbl
,[7] Quadratic forms with absolutely maximal splitting, in: Quadratic Forms and their Applications (Dublin, 1999), Contemp. Math., vol. 272, 2000, pp. 103-125. | MR | Zbl
, ,[8] Cohomology of relative cellular spaces and isotropic flag varieties, Algebra i Analiz 12 (1) (2000) 3-69, (in Russian). Engl. transl., St. Petersburg Math. J. 12 (1) (2001) 1-50. | MR | Zbl
,[9] On the first Witt index of quadratic forms, Invent. Math. 153 (2003) 455-462. | MR | Zbl
,[10] Third proof of second gap in dimensions of quadratic forms from , in: Algebraic and Arithmetic Theory of Quadratic Forms (Talca, 2002), Contemp. Math., vol. 344, 2004, pp. 207-213. | MR | Zbl
,[11] Cycles on powers of quadrics, in: (Ed.), Mathematisches Institut Georg-August-Universität Göttingen Seminars 2003/2004, 2004, pp. 31-36. | MR | Zbl
,[12] Rost projectors and Steenrod operations, Doc. Math. 7 (2002) 481-493. | MR | Zbl
, ,[13] Essential dimension of quadrics, Invent. Math. 153 (2003) 361-372. | MR | Zbl
, ,[14] Generic splitting of quadratic forms. I, Proc. London Math. Soc. (3) 33 (1) (1976) 65-93. | MR | Zbl
,[15] An exact sequence for with applications to quadratic forms, 454 (2000).
, , ,[16] On the algebraic K-theory of twisted flag varieties, 8 (6) (1994) 541-585. | MR | Zbl
,[17] Quadratische Formen in beliebigen Körpern, Invent. Math. 1 (1966) 116-132. | MR | Zbl
,[18] Rost M., The motive of a Pfister form, Preprint, 1998.
[19] Quadratic and Hermitian Forms, Springer, Berlin, 1985. | MR | Zbl
,[20] K-theory of quadric hypersurfaces, Ann. Math. 122 (1) (1985) 113-154. | MR | Zbl
,[21] Vishik A., On the dimension of anisotropic forms in , Max-Planck-Institut für Mathematik in Bonn, preprint MPI 2000-11, 2000, 1-41.
[22] Motives of quadrics with applications to the theory of quadratic forms, in: Geometric Methods in the Algebraic Theory of Quadratic Forms (Lens, 2000), Lect. Notes Math., vol. 1835, Springer, Berlin, 2004, pp. 25-101. | MR | Zbl
,[23] Reduced power operations in motivic cohomology, Publ. Math. I.H.É.S. 98 (2003) 1-57. | Numdam | MR | Zbl
,Cité par Sources :