@incollection{AST_1994__226__371_0, author = {Pedrini, Claudio and Weibel, Charles}, title = {Divisibility in the {Chow} group of zero-cycles on a singular surface}, booktitle = {$K$-theory - Strasbourg, 1992}, series = {Ast\'erisque}, pages = {371--409}, publisher = {Soci\'et\'e math\'ematique de France}, number = {226}, year = {1994}, zbl = {0827.14003}, language = {en}, url = {http://archive.numdam.org/item/AST_1994__226__371_0/} }
TY - CHAP AU - Pedrini, Claudio AU - Weibel, Charles TI - Divisibility in the Chow group of zero-cycles on a singular surface BT - $K$-theory - Strasbourg, 1992 AU - Collectif T3 - Astérisque PY - 1994 SP - 371 EP - 409 IS - 226 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1994__226__371_0/ LA - en ID - AST_1994__226__371_0 ER -
%0 Book Section %A Pedrini, Claudio %A Weibel, Charles %T Divisibility in the Chow group of zero-cycles on a singular surface %B $K$-theory - Strasbourg, 1992 %A Collectif %S Astérisque %D 1994 %P 371-409 %N 226 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1994__226__371_0/ %G en %F AST_1994__226__371_0
Pedrini, Claudio; Weibel, Charles. Divisibility in the Chow group of zero-cycles on a singular surface, dans $K$-theory - Strasbourg, 1992, Astérisque, no. 226 (1994), pp. 371-409. http://archive.numdam.org/item/AST_1994__226__371_0/
[B1] and algebraic cycles, Ann. of Math. 99 (1974), 349-379. | DOI | Zbl
,[B2] Lectures on algebraic cycles, Duke University Press, Durham, 1980. | Zbl
,[B3] Torsion algebraic cycles, , and Brauer groups of function fields, Lecture Notes in Math. 844 (1981), Springer-Verlag | Zbl
,[BG] Algebraic -Theory as generalized sheaf cohomology, Lectures Notes in Math. 341 (1973), Springer-Verlag, 266-292. | Zbl
and ,[BKL] Zero cycles on surfaces with , Comp. Math. 99 (1976), 135-145. | EuDML | Numdam | Zbl
, and ,[BO] Gersten's Conjecture and the homology of schemes, Ann. Sci. École Norm. Sup. (Paris) 7 (1974), 181-202. | DOI | EuDML | Numdam | Zbl
and ,[BV1] Cohomology theories and algebraic cycles on singular varieties, AMS Contemp. Math. 126 (1992), 197-217. | DOI | Zbl
,[BV2] Zero-cycles on singular varieties : Torsion and Bloch's Formula, J. Pure Applied Alg. 78 (1992), 1-13. | DOI | Zbl
,[C] Torsion in the Chow group of codimension two : the case of varieties with isolated singularities, J. Pure Applied Alg. 34 (1984), 147-153. | DOI | Zbl
,[Com] Sulle varietá abeliane reali I, Ann. Mat. Pura Appl. 2 (1924), 27-71. | JFM
,[Cox] The étale homotopy type of varieties over , Proc. AMS 76 (1979), 17-22. | Zbl
,[CT-I] L'équivalence rationelle sur les cycles de dimension zéro des variétés algébriques réelles, C.R. Acad. Sci. (Paris) 292 (1981), 723-725. | Zbl
and ,[CT-P] Real components of algebraic varieties and étale cohomology, Invent. Math. 101 (1990), 81-99. | DOI | EuDML | Zbl
and ,[CT-R] -cohomology and the second Chow group, Math. Ann. 270 (1985), 165-199. | DOI | EuDML | Zbl
and ,[CT-R91] Groupe de Chow de codimension deux des variétés définies sur un corps de nombres : un théorème de finitude pour la torsion, Invent. Math. 105 (1991), 221-245. | DOI | EuDML | Zbl
and ,[CT-S] Zero-cycles and cohomology on real algebraic varieties, preprint, 1993. | Zbl
and ,Results summarized in two talks given by Colliot-Thélène at Oberwolfach : Étale Kohomologie und klassische Kohomologie reeller algebraischer Varietäten (June 15, 1990)
andZero-cycles and cohomology of real algebraic varieties (May 12, 1993). | Zbl
and[G] -theory of Henselian local rings and Henselian pairs, AMS Contemp. Math 126 (1992), 59-70. | DOI | Zbl
,[Gil] On the -theory of surfaces with multiple curves and a conjecture of Bloch, Duke Math. J. 51 (1984), 195-233. | DOI | Zbl
,[GilRR] Riemann-Roch theorems for higher algebraic -theory, Advances in Math. 40 (1981), 203-289. | DOI | Zbl
,[Gr] Classes des Faisceaux et Théorème de Riemann Roch, Lectures Notes in Math 225 (SGA 6 exp. 0), Springer-Verlag, 1971. | Zbl
,[Gray] Universal exactness in Algebraic -Theory, J. Pure Applied Alg. 36 (1985), 139-141. | DOI | Zbl
,[GW] , J. reine angew. Math. 342 (1983), 12-34. | EuDML | Zbl
and ,[H] Residues and Duality, Lectures Notes in Math. 20, Springer Verlag, 1966. | EuDML | Zbl
,[Hoob] Etale cohomology of geometric local rings in Galois cohomology, in preparation.
,[J] Cohomologie de quelques schémas classiques et théorie cohomologique des classes de Chern, Lectures Notes in Math 589 (SGA 5 exp. VII), Springer-Verlag, 282-350 | Zbl
,[Kn] On algebraic curves over real closed fields I, Math. Zeit. 150 (1976), 49-69. | DOI | EuDML | Zbl
,[L1] Bloch's formula for singular surfaces, Topology 24 (1985), 165-174. | DOI | Zbl
,[L2] Zero-cycles and -theory on singular surfaces, Proc. Symp. Pure Appl. Math. 46 (1987), AMS, 451-462. | DOI | Zbl
,[LW] Zero cycles and complete intersections on singular varieties, J. reine angew. Math. 359 (1985), 106-120. | EuDML | Zbl
and ,[MS] -Cohomology of Severi-Brauer varieties and the norm residue homomorphism (in Russian), Izv. Akad. Nauk. USSR 46 (1982), 1011-1046 | Zbl
and ,[MS] -Cohomology of Severi-Brauer varieties and the norm residue homomorphism (in Russian), Math. USSR Izvestiya 21 (1983), 307-340. | DOI | Zbl
and ,[MSw] Vector bundles over affine surfaces, Invent. Math. 36 (1976) 125-165. | DOI | EuDML | Zbl
and ,[Mum] Abelian Varieties, Oxford Univ. Press, 1970. | Zbl
,[N1] The completely decomposed topology on schemes and associated descent spectral sequences in Algebraic -Theory, in Algebraic -Theory : connections with Geometry and Topology, NATO ASI series C, vol. 279 (1989), Kluwer, 241-341. | Zbl
,[N2] Some new cohomological descriptions of the Chow group of Algebraic cycles and the coniveau filtration, preprint (1990).
,[P] On the of certain polynomial extensions, Lectures Notes in Math. 342 (1973), Springer-Verlag, 92-108. | Zbl
,[PW1] -Theory and Chow groups of singular Varieties, AMS Contemp. Math. 55, part I (1986), 339-370. | DOI | Zbl
and ,[PW2] Invariants of Real Curves, Rend. Sem. Mat. Politecnico Torino 49, 2 (1991), 139-173. (AGCA-1990) | Zbl
and ,[Q] Higher Algebraic -theory I, Lectures Notes in Math. 341, Springer-Verlag, 1973. | Zbl
,[R] The torsion of the group of -cycles modulo rational equivalence, Annals Math. 111 (1980), 553-569. | DOI | Zbl
,[Sai] Cycle map on torsion cycles of codimension , Invent. Math. 106 (1991), 443-460. | DOI | EuDML | Zbl
,[Sch] A remark on the paper by J.-L. Colliot-Thélène and R. Parimala, preprint (February 1990).
,[SGA4] Théorie des topos et cohomologie étale des schémas, Tome 3, Lecture Notes in Math. 305, Springer-Verlag, 1973.
, and ,[Shek] Algebraic -theory and characteristic classes, Us-pekhi Mat. Nauk 33 (1978), 239-240 | Zbl
,[Shek] Algebraic -theory and characteristic classes, Russian Math. Surveys 33 (1978), 259-260. | DOI | Zbl
,[Soulé] -théorie des anneaux d'entiers de corps de nombres et cohomologie étale, Invent. Math. 55 (1979), 251-295. | DOI | EuDML | Zbl
,[Suslin] Torsion in of fields, -theory 1 (1987), 5-30. | DOI | Zbl
,[TT] Higher Algebraic -Theory of Schemes and Derived Categories, Progress in Math. 88 (1990), Birkauser, 247-435.
and ,[W1] Mayer-Vietoris sequences and mod -theory, Lecture Notes in Math. 966 (1983), Springer-Verlag. | MR | Zbl
,[W2] -theory of -dimensional schemes, AMS Contemp. Math. 55, Part II (1986), 811-818.
,[W3] Étale chern classes at the prime , in Algebraic -theory and Algebraic Topology, NATO ASI series C, vol. 407 (1993), Kluwer Press, 249-286.
,[W4] A Brown-Gersten spectral sequence for the -theory of varieties with isolated singularities, Adv. Math. 73 (1989), 192-203.
,[W5] Complete intersection points on affine varieties, Comm. in Algebra 12 (1981), 3011-3051.
,[Whd] Ueber symmetrische Riemann'sche Fläschen und die Periodicitätsmoduln der zugehörigen Abel'schen Normalintegrale erster Gattung, Zeitschrift f. Math. und Phys. 28 (1883), 321-351.
,[Witt] Zerlegung reellem algebraischer Funktionen in Quadrate. Schiefkörper über reellen Functionenkörper, J. reine angew. Math. 171 (1934), 4-11.
,