@article{ASENS_1989_4_22_2_255_0, author = {Levine, Marc}, title = {The indecomposable $K_3$ of fields}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {255--344}, publisher = {Elsevier}, volume = {Ser. 4, 22}, number = {2}, year = {1989}, doi = {10.24033/asens.1585}, mrnumber = {91a:11061}, zbl = {0705.19001}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1585/} }
TY - JOUR AU - Levine, Marc TI - The indecomposable $K_3$ of fields JO - Annales scientifiques de l'École Normale Supérieure PY - 1989 SP - 255 EP - 344 VL - 22 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1585/ DO - 10.24033/asens.1585 LA - en ID - ASENS_1989_4_22_2_255_0 ER -
Levine, Marc. The indecomposable $K_3$ of fields. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 22 (1989) no. 2, pp. 255-344. doi : 10.24033/asens.1585. http://archive.numdam.org/articles/10.24033/asens.1585/
[B-T] On the Milnor Ring of a Field, in Higher Algebraic K-Theory I, LNM, # 341, Springer, 1973. | MR
and ,[Be]
, Letter to C. Soulé 11/1/82.[B] K2 of Global Fields (Proc. Symp. Pure Math., 20, 1969, pp. 87-95). | MR | Zbl
,[Borel] Stable Real Cohomology of Arithmetic Groups, (Ann. Scient. Éc. Norm. Sup., T. 7, 1974, pp. 235-272). | Numdam | MR | Zbl
,[C-L] On l-Adic Zeta Functions (Ann. of Math. 98, 1973, pp. 498-550). | MR | Zbl
and ,[Coombes] Relative Algebraic K-Theory, an appendix to Relative K-Theory and Vector Bundles on Certain Singular Varieties, by K. R. COOMBES and V. SRINIVAS, Invent. Math., Vol. 70, 1982, pp. 13-25. | MR | Zbl
,[D-S] "K2 of discrete valuation rings", Adv. Math 18 # 2. | MR | Zbl
and ,[D-F] Algebraic and Étale K-Theory (Trans. Am. Math. Soc., Vol. 292, No. 1, 1985, pp. 247-280). | MR | Zbl
and ,[H-K] On the 2-Primary Part of the Birch-Tate Conjecture (Applications of Algebraic K-Theory to Algebraic Geometry and Number Theory II, pp. 519-528, A.M.S. Contemporary Math. Series, Vol. 55, 1986). | MR | Zbl
and ,[Gillet] Riemann-Roch Theorems for Higher Algebraic K-Theory (Adv. in Math., Vol. 40, 1981, pp. 203-289). | MR | Zbl
,[G-G] The Loop Space of the Q-Construction (Ill. J. Math., Vol. 31, No. 4, 1987, pp. 574-597). | MR | Zbl
and ,[Jannsen] Continuous Etale Cohomology, preprint.
,[Keune] The Relativization of K2 (J. of Alg., Vol. 54, 1978, pp. 159-177). | MR | Zbl
,[L-S] The Group K3(ℤ) is Cyclic of Order 48 (Ann. of Math., Vol. 104, 1976, pp. 31-60). | MR | Zbl
and ,[Li] On the Values of Zeta and L-Functions : I (Ann. of Math., Vol. 96, 1972, pp. 338-360). | MR | Zbl
,[Li2] Values of Zeta Functions, Etale Cohomology, and Algebraic K-Theory, in Algebraic K-Theory II (LNM, # 342, 1973, pp. 489-501). | MR | Zbl
,[Li3] Values of Zeta-Functions at Non-Negative Integers, in Number Theory (LNM, # 1068, 1984, pp. 127-138). | MR | Zbl
,[Li4] The Construction of Weight Two Arithmetic Cohomology (Inv. Math., Vol. 88, 1987, pp. 183-215). | MR | Zbl
,[Loday] Cohomologie et groupe de Steinberg relatifs (J. Algebra, Vol. 54, 1978, pp. 178-202). | MR | Zbl
,[M-W] Class Fields of Abelian Extensions of ℚ (Invent. Math., Vol. 76, 1984, pp. 179-330). | MR | Zbl
and ,[M] K2 of Fields and the Brauer Group, in Applications of Algebraic K-Theory to Algebraic Geometry and Number Theory, Part II (AMS Contempory Math. Series, # 55, 1986, pp. 529-546). | MR | Zbl
,[M-S] K-Cohomology of Severi-Brauer Varieties and the Norm Residue Homomorphism (Math. of the U.S.S.R.-Izvestiya (trans.), Vol. 21, 1983, pp. 307-340). | Zbl
and ,[M-S2] On the K3 of a Field, LOMI, preprint, M-2-07, 1987.
and ,[Quillen] Higher Algebraic K-Theory I, in Algebraic K-Theory I (LNM, # 341, Springer, 1972, pp. 85-147). | MR | Zbl
,[Q2] On the Cohomology and K-Theory of the General Linear Group Over a Finite Field (Ann. Math., Vol. 96, 1972, pp. 552-586). | MR | Zbl
,[Q3] Finite Generation of the Groups Ki of Rings of Algebraic Integers, in Algebraic K-Theory I (LNM, # 341, Springer, 1972, pp. 179-198). | MR | Zbl
,[Sherman] K-Cohomology of Regular Schemes (Comm. Algebra, 7, No. 10, 1979, pp. 999-1029). | MR | Zbl
,[Se] Cohomologie des Groupes Descrets (Ann. of Math. Studies, Vol. 70, pp. 77-169, Princeton Univ. Press, 1971). | MR | Zbl
,[So] K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale (Inv. Math., Vol. 55, 1979, pp. 251-295). | MR | Zbl
,[Swan] K-Theory of Quadric Hypersurfaces (Ann. of Math., Vol. 122, No. 1, 1985). | MR | Zbl
,[S] Torsion in K2 of Fields, K-theory 1, No. 1, 1987, pp. 5-30. | MR | Zbl
,[T] Relations Between K2 and Galois Cohomology (Invent. Math., Vol. 36, 1976, pp. 257-274). | MR | Zbl
,[T2] Symbols in Arithmetic (Proc. of the International Congress at Nice, 1970).
,[W] Algebraic K-Theory of Generalized Free Products I and II (Ann. of Math., Vol. 108, 1978, pp. 135-256). | MR | Zbl
,[Weibel] A Survey of Products in Algebraic K-Theory, (LNM, # 854, 1981, pp. 494-517). | MR | Zbl
,[W2] Mennicke-Type Symbols for Relative K2 (LNM, # 1046, 1984). | MR | Zbl
,Cité par Sources :