@article{RSMUP_2005__114__63_0, author = {Morel, Fabien}, title = {Milnor{\textquoteright}s conjecture on quadratic forms and $~mod \ ; 2$ motivic complexes}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {63--101}, publisher = {Seminario Matematico of the University of Padua}, volume = {114}, year = {2005}, mrnumber = {2207862}, zbl = {1165.14309}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_2005__114__63_0/} }
TY - JOUR AU - Morel, Fabien TI - Milnor’s conjecture on quadratic forms and $~mod \ ; 2$ motivic complexes JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2005 SP - 63 EP - 101 VL - 114 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_2005__114__63_0/ LA - en ID - RSMUP_2005__114__63_0 ER -
%0 Journal Article %A Morel, Fabien %T Milnor’s conjecture on quadratic forms and $~mod \ ; 2$ motivic complexes %J Rendiconti del Seminario Matematico della Università di Padova %D 2005 %P 63-101 %V 114 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_2005__114__63_0/ %G en %F RSMUP_2005__114__63_0
Morel, Fabien. Milnor’s conjecture on quadratic forms and $~mod \ ; 2$ motivic complexes. Rendiconti del Seminario Matematico della Università di Padova, Tome 114 (2005), pp. 63-101. http://archive.numdam.org/item/RSMUP_2005__114__63_0/
[1] Cohomologische Invarianten Quadratischer Formen. J. Algebra, 36 no. 3 (1975), pp. 448-491. | MR | Zbl
,[2] Powers of the fundamental ideal in the Witt ring, Journal of Algebra, 239 (2001), pp. 150-160. | MR | Zbl
- ,[3] The Gersten conjecture on Witt groups in the equicharacteristic case, Documenta Mathematica 7 (2002), pp. 203-217. | MR | Zbl
- - - ,[4] Cohomologie des groupes linéaires, K-théorie de Milnor et groupes de Witt. C. R. Acad. Sci. Paris Série I Math., 328 no. 3 (1999), pp. 191-196. | MR | Zbl
- ,[5] The Milnor ring of a global field. Algebraic K-theory, II: ``Classical'' algebraic K-theory and connections with arithmetic (Proc. Conf., Seattle, Wash., Battelle Memorial Inst., 1972), pp. 349-446. Lecture Notes in Math., Vol. 342, Springer, Berlin, 1973. | MR | Zbl
- ,[6] The Bloch-Ogus-Gabber theorem. Algebraic K-theory (Toronto, ON, 1996), pp. 31-94, Fields Inst. Commun., 16, Amer. Math. Soc., Providence, RI, 1997. | MR | Zbl
- - ,[7] Modules homotopiques avec transferts et motifs génériques. Thèse de l'université Paris VII, disponible à: http://www-math.univ-paris13.fr/Ädeglise/these.html
,[8] Milnor K-theory of rings, higher Chow groups and applications, Inventiones Math., 148 (2002), pp. 177-206. | MR | Zbl
- ,[9] Cohomological Invariants in Galois Cohomology, University Lecture series, volume 28, AMS. | Zbl
- - ,[10] Sur quelques points d'algèbre homologique, Tohoku Math. J., (2) 9 (1957), pp. 119-221. | MR | Zbl
,[11] Motivic cohomology and unramified cohomology of quadrics. J. Eur. Math. Soc. (JEMS), 2 no. 2 (2000), pp. 145-177. | EuDML | MR | Zbl
- ,[12] A generalization of local class field theory by using K-groups. II. J. Fac. Sci. Univ. Tokyo Sect. IA Math., 27 no. 3 (1980), pp. 603-683. | MR | Zbl
,[13] K. KATO, Milnor K-theory and the Chow group of zero cycles. Applications of algebraic K-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983), pp. 241-253, Contemp. Math., 55, Amer. Math. Soc., Providence, RI, 1986. | MR | Zbl
[14] Quadratic and Hermitian forms over rings. With a foreword by I. Bertuccioni. Grundlehren der Mathematischen Wissenschaften, 294. Springer-Verlag, Berlin, 1991. | MR | Zbl
,[15] Algebraic K-theory and Quadratic Forms, Inventiones Math., 9 (1970), pp. 318-344. | EuDML | MR | Zbl
,[16] Suite spectrale d'Adams et invariants cohomologiques des formes quadratiques, C.R. Acad. Sci. Paris, t. 328, Série I (1999), pp. 963-968. | MR | Zbl
,[17] Sur les puissances de l'idéal fondamental de l'anneau de Witt, Commentarii Mathematici Helvetici, 79 no. 4 (2004), pp. 689-703. | MR | Zbl
,[18] The stable A1 -connectivity theorems, to appear in K-theory Journal. | MR | Zbl
,[19] Milnor's conjecture on quadratic forms and the operation Sq2 , in preparation.
,[20] A1 -homotopy theory of schemes. Inst. Hautes Études Sci. Publ. Math., No. 90 (1999), pp. 45-143. | EuDML | Numdam | MR | Zbl
- ,[21] The completely decomposed topology on schemes and associated descent spectral sequences in algebraic K-theory. Algebraic K-theory: connections with geometry and topology (Lake Louise, AB, 1987), 241-342, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 279, Kluwer Acad. Publ., Dordrecht, 1989. | MR | Zbl
,[22] A purity theorem for the Witt group. Ann. Sci. École Norm. Sup. (4), 32 no. 1 (1999), pp. 71-86. | EuDML | Numdam | MR | Zbl
- ,[23] An exact sequence for Milnor's K-theory with applications to quadratic forms, preprint, 2000, available at http://www.math.uiuc.edu/K-theory/0454/
- - ,[24] Chow groups with coefficients. Doc. Math., 1 No. 16 (1996), pp. 319-393 (electronic). | EuDML | MR | Zbl
,[25] Quadratic and Hermitian forms. Grundlehren der Mathematischen Wissenschaften, 270 (Springer-Verlag, Berlin, 1985). | MR | Zbl
,[26] Wittringhomologie, Dissertation, Universität Regensburg, 1998.
,[27] Bloch-Kato conjecture and motivic cohomology with finite coefficients. The arithmetic and geometry of algebraic cycles (Banff, AB, 1998), pp. 117-189, NATO Sci. Ser. C Math. Phys. Sci., 548, Kluwer Acad. Publ., Dordrecht, 2000. | MR | Zbl
- ,[28] Triangulated categories of motives over a field. Cycles, transfers, and motivic homology theories, pp. 188-238, Ann. of Math. Stud., 143, Princeton Univ. Press, Princeton, NJ, 2000. | MR | Zbl
,[29] Cohomological theory of presheaves with transfers. Cycles, transfers, and motivic homology theories, pp. 87-137, Ann. of Math. Stud., 143, Princeton Univ. Press, Princeton, NJ, 2000. | MR | Zbl
,[30] Motivic cohomology groups are isomorphic to higher Chow groups in any characteristic, Int. Math. Res. Not., No. 7 (2002), pp. 351-355. | MR | Zbl
,[31] Reduced power operations in motivic cohomology, Inst. Hautes Études Sci. Publ. Math., No. 98 (2003), pp. 1-57. | EuDML | Numdam | MR | Zbl
,[32] Motivic cohomology with Z/2-coefficients, Inst. Hautes Études Sci. Publ. Math., No. 98 (2003), pp. 59-104. | EuDML | Numdam | MR | Zbl
,[33] The Milnor conjecture, preprint, 1996, available at http://www.math.uiuc.edu/K-theory/0170/
,