Poincare duality for logarithmic crystalline cohomology

被引：22

作者：

Tsuji, T ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

COMPOSITIO MATHEMATICA | 1999年 / 118卷 / 01期

关键词：

logarithmic crystalline cohomology; Poincare duality;

D O I：

10.1023/A:1001020809306

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Poincare duality for logarithmic crystalline cohomology of log smooth schemes whose underlying schemes are reduced. This is a generalization of the result of P. Berthelot for usual smooth schemes and that of O. Hyodo for the special fibers of semi-stable families and trivial coefficients.

引用

页码：11 / 41

页数：31

共 50 条

[1] POINCARE DUALITY IN CRYSTALLINE COHOMOLOGY
BERTHELOT, P
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 272 (03): : 254 - +
[2] Absolute Poincare duality in etale cohomology
Khan, Adeel A.
[J]. FORUM OF MATHEMATICS SIGMA, 2022, 10
[3] Superforms, tropical cohomology, and Poincare duality
Jell, Philipp
Shaw, Kristin
Smacka, Jascha
[J]. ADVANCES IN GEOMETRY, 2019, 19 (01) : 101 - 130
[4] Poincare duality for algebraic de rham cohomology
Baldassarri, F
Cailotto, M
Fiorot, L
[J]. MANUSCRIPTA MATHEMATICA, 2004, 114 (01) : 61 - 116
[5] Poincare duality and Kunneth formula for rigid cohomology
Berthelot, P
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 325 (05): : 493 - 498
[6] Poincare duality for Lp cohomology on subanalytic singular spaces
Valette, Guillaume
[J]. MATHEMATISCHE ANNALEN, 2021, 380 (1-2) : 789 - 823
[7] A RELATION BETWEEN POINCARE DUALITY AND QUOTIENTS OF COHOMOLOGY MANIFOLDS
COSTICH, OL
[J]. MICHIGAN MATHEMATICAL JOURNAL, 1970, 17 (03) : 225 - &
[8] Poincare duality of the basic intersection cohomology of a Killing foliation
Saralegi-Aranguren, Martintxo
Wolak, Robert
[J]. MONATSHEFTE FUR MATHEMATIK, 2016, 180 (01): : 145 - 166
[9] Duality in the cohomology of crystalline local systems
Niziol, W
[J]. COMPOSITIO MATHEMATICA, 1997, 109 (01) : 67 - 97
[10] Twisted Poincare duality between Poisson homology and Poisson cohomology
Luo, J.
Wang, S. -Q.
Wu, Q. -S.
[J]. JOURNAL OF ALGEBRA, 2015, 442 : 484 - 505

← 1 2 3 4 5 →