EXTENSIONS OF FORMAL HODGE STRUCTURES

被引：2

作者：

Mazzari, Nicola ^{[1
]}

机构：

[1] Univ Padua, Dept Math, Padua, Italy

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 04期

关键词：

Albanese; Hodge structures;

D O I：

10.1080/00927871003705575

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define and study the properties of the category FHSn of formal Hodge structure of level <= n following the ideas of Barbieri-Viale who discussed the case of level <= 1. As an application, we describe the generalized Albanese variety of Esnault, Srinivas, and Viehweg via the group Ext(1) in FHSn. This formula generalizes the classical one to the case of proper but not necessarily smooth complex varieties.

引用

页码：1372 / 1393

页数：22

共 50 条

[1] Formal Hodge theory
Barbieri-Viale, Luca
[J]. MATHEMATICAL RESEARCH LETTERS, 2007, 14 (2-3) : 385 - 394
[2] FORMAL HODGE FILTRATION
OGUS, A
[J]. INVENTIONES MATHEMATICAE, 1976, 31 (03) : 193 - 228
[3] EXTENSIONS OF VARIATIONS OF MIXED HODGE STRUCTURE
CARLSON, JA
HAIN, RM
[J]. ASTERISQUE, 1989, (179-80) : 39 - 65
[4] Morgan's mixed Hodge structures and nonabelian Hodge structures
Kasuya, Hisashi
[J]. COMMUNICATIONS IN ALGEBRA, 2021, 49 (06) : 2655 - 2678
[5] Mixed Hodge complexes and higher extensions of mixed Hodge modules on algebraic varieties
Ivorra, Florian
[J]. RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2015, 133 : 11 - 77
[6] Hodge structures on posets
Hanlon, P
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (07) : 1857 - 1867
[7] LIMITS OF HODGE STRUCTURES
STEENBRINK, J
[J]. INVENTIONES MATHEMATICAE, 1976, 31 (03) : 229 - 257
[8] ON THE PRESENTATION OF HODGE ALGEBRAS AND THE EXISTENCE OF HODGE ALGEBRA STRUCTURES
TRUNG, NV
[J]. COMMUNICATIONS IN ALGEBRA, 1991, 19 (04) : 1183 - 1195
[9] FORMAL FIBERS AND BIRATIONAL EXTENSIONS
HEINZER, W
ROTTHAUS, C
SALLY, JD
[J]. NAGOYA MATHEMATICAL JOURNAL, 1993, 131 : 1 - 38
[10] Holomorphic extensions of formal objects
Ribón, J
[J]. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2004, 3 (04) : 657 - 680

← 1 2 3 4 5 →