@incollection{MSMF_1989_2_38__51_0, author = {Bloch, Spencer and Murthy, M. Pavaman and Szpiro, Lucien}, title = {Zero cycles and the number of generators of an ideal}, booktitle = {Colloque en l'honneur de Pierre Samuel (Orsay 21-22 mai 1987)}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, pages = {51--74}, publisher = {Soci\'et\'e math\'ematique de France}, number = {38}, year = {1989}, doi = {10.24033/msmf.341}, mrnumber = {91f:14004}, zbl = {0733.14003}, url = {http://archive.numdam.org/articles/10.24033/msmf.341/} }
TY - CHAP AU - Bloch, Spencer AU - Murthy, M. Pavaman AU - Szpiro, Lucien TI - Zero cycles and the number of generators of an ideal BT - Colloque en l'honneur de Pierre Samuel (Orsay 21-22 mai 1987) AU - Collectif T3 - Mémoires de la Société Mathématique de France PY - 1989 SP - 51 EP - 74 IS - 38 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/msmf.341/ DO - 10.24033/msmf.341 ID - MSMF_1989_2_38__51_0 ER -
%0 Book Section %A Bloch, Spencer %A Murthy, M. Pavaman %A Szpiro, Lucien %T Zero cycles and the number of generators of an ideal %B Colloque en l'honneur de Pierre Samuel (Orsay 21-22 mai 1987) %A Collectif %S Mémoires de la Société Mathématique de France %D 1989 %P 51-74 %N 38 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/msmf.341/ %R 10.24033/msmf.341 %F MSMF_1989_2_38__51_0
Bloch, Spencer; Murthy, M. Pavaman; Szpiro, Lucien. Zero cycles and the number of generators of an ideal, dans Colloque en l'honneur de Pierre Samuel (Orsay 21-22 mai 1987), Mémoires de la Société Mathématique de France, Série 2, no. 38 (1989), pp. 51-74. doi : 10.24033/msmf.341. http://archive.numdam.org/articles/10.24033/msmf.341/
[Ba] Algebraic K-theory, Benjamin, New York, 1968. | MR | Zbl
,[Bl] Some elementary theorems about algebraic cycles on abelian varieties, Inventiones Math. 37 (1976), 215-228. | MR | Zbl
,[Bo] On a conormal module of smooth set-theoretic complete intersections, Trans. Amer. Math. Soc. 296 (1986). | MR | Zbl
,[Fu] Intersection Theory, Springer-Verlag, 1984. | MR | Zbl
,[Go] Affine open subsets of algebraic varieties and ample divisors, Ann. of Math. 89 (1969), 168-183. | MR | Zbl
,[Le] Zero cycles and K-theory on singular varieties, Algebraic Geometry Bowdoin 1985, Proc. Symp. in Pure Math. 46 (1987), 451-462. | MR | Zbl
,[Ly] The number of equations needed to define an algebraic set, (preprint).
,[Mi] Zero cycles on algebraic varieties in non-zero characteristic : Roitman's theorem, Compositio Math. 47 (1982), 271-287. | Numdam | Zbl
,[MK1] On two conjectures about polynomial rings, Inventiones Math. 46 (1978), 225-236. | MR | Zbl
,[MK2] Complete intersection, J. Math. Kyoto Univ. 17 (1977), 533-538. | MR | Zbl
,[MK3] Set-theoretic generation of ideals, (preprint).
,[MKM] Algebraic cycles and vector bundles over affine three-folds, Ann. of Math. 116 (1982), 579-591. | MR | Zbl
and ,[MKMR] A cancellation theorem for projective modules over finitely generated rings, to appear in "Algebraic Geometry and Commutative Algebra in Honor of Masayashi Nagata", 1987. | Zbl
, and ,[Mu] Rational equivalence of 0-cycles on surfaces, J. Math. Kyoto Univ. 9 (1969), 195-204. | MR | Zbl
,[Mu1] Complete intersections, Conference on Commutative Algebra, Queen's Papers Pure Appl. Math. 42 (1975), 196-211. | MR | Zbl
,[Mu2] Generators for certain ideals in regular rings of dimension three, Comment. Math. Helv. 47 (1972), 179-184. | MR | Zbl
,[Mu3] Affine varieties as complete intersections, Intl. Symp. on Algebraic Geometry, Kyoto (1977), 231-236. | MR | Zbl
,[Mu4] Zero cycles, splitting of projective modules and number of generators of a module, (preprint).
,[Mu5] Zero cycles and projective modules, (in preparation).
,[MS] Vector bundles over affine surfaces, Inventiones Math. 36 (1966), 125-165. | MR | Zbl
and ,[Ro1] On Г-equivalence of zero-dimensional cycles, Math. USSR Sbornik 15 (1971), 555-567. | MR | Zbl
,[Ro2] Rational equivalence of zero-cycles, Math. USSR Sbornik 18 (1972), 571-588. | MR | Zbl
,[Ro3] The torsion of the group of 0-cycles modulo rational equivalence, Ann. of Math. 111 (1980), 553-569. | MR | Zbl
,[Sr] Torsion 0-cycles on affine varieties in characteristic p, (preprint).
,[Su] A cancellation theorem for projective modules over algebras, Soviet Math. Dokl. 18 (1977), 1281-1284. | MR | Zbl
,[Sw] A cancellation theorem for projective modules in the metastable range, Inventiones Math. 27 (1974), 23-43. | MR | Zbl
,[Sz] Equations defining space curves, Published for Tata Institute oof Fundamental Research by Springer-Verlag (1979). | MR | Zbl
,[We] Algebraic Number Theory, Mc Graw-Hill, 1963. | MR | Zbl
,Cité par Sources :