Hodge theorem for the logarithmic de Rham complex via derived intersections

被引：0

作者：

Hablicsek, Marton ^{[1
]}

机构：

[1] Leiden Univ, Leiden, Netherlands

来源：

RESEARCH IN THE MATHEMATICAL SCIENCES | 2020年 / 7卷 / 03期

关键词：

VECTOR-BUNDLES; HIGHER-LEVEL; FORMALITY; MODULES; CURVES;

D O I：

10.1007/s40687-020-00222-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a beautiful paper, Deligne and Illusie (Invent Math 89(2):247-270, 1987) proved the degeneration of the Hodge-to-de Rham spectral sequence using positive characteristic methods. Kato (in: Igusa (ed) ALG analysis, geographic and numbers theory, Johns Hopkins University Press, Baltimore, 1989) generalized this result to logarithmic schemes. In this paper, we use the theory of twisted derived intersections developed in Arinkin et al. (Algebraic Geom 4:394-423, 2017) and the author of this paper to give a new, geometric interpretation of the Hodge theorem for the logarithmic de Rham complex.

引用

页数：21

共 50 条

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