Moduli of log mixed Hodge structures

被引：6

作者：

Kato, Kazuya ^{[1
]}

Nakayama, Chikara ^{[2
]}

Usui, Sampei ^{[3
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Tokyo Inst Technol, Grad Sch Sci & Engn, Meguro Ku, Tokyo 1528551, Japan

[3] Osaka Univ, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2010年 / 86卷 / 07期

关键词：

Hodge theory; log geometry; Griffiths domain; toroidal compactification; log mixed Hodge structure; admissible normal function; DEGENERATION;

D O I：

10.3792/pjaa.86.107

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We announce the construction of toroidal partial compactifications of the moduli spaces of mixed Hodge structures with polarized graded quotients. They are moduli spaces of log mixed Hodge structures with polarized graded quotients. We include an application to the analyticity of zero loci of normal functions.

引用

页码：107 / 112

页数：6

共 50 条

[31] A study of mirror symmetry through log mixed Hodge theory
Usui, Sampei
HODGE THEORY, COMPLEX GEOMETRY, AND REPRESENTATION THEORY, 2014, 608 : 285 - 311
[32] Neron models in log mixed Hodge theory by weak fans
Kato, Kazuya
Nakayama, Chikara
Usui, Sampei
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2010, 86 (08) : 143 - 148
[33] The gysin map is compatible with mixed Hodge structures
de Cataldo, MAA
Migliorini, L
ALGEBRAIC STRUCTURES AND MODULI SPACES, 2004, 38 : 133 - 138
[34] MIXED HODGE-STRUCTURES ON THE HOMOTOPY OF LINKS
DURFEE, AH
HAIN, RM
MATHEMATISCHE ANNALEN, 1988, 280 (01) : 69 - 83
[35] Techniques of Constructions of Variations of Mixed Hodge Structures
Hisashi Kasuya
Geometric and Functional Analysis, 2018, 28 : 393 - 442
[36] LIMIT MIXED HODGE STRUCTURES OF HYPERKAHLER MANIFOLDS
Soldatenkov, Andrey
MOSCOW MATHEMATICAL JOURNAL, 2020, 20 (02) : 423 - 436
[37] Mixed Hodge structures and semistable reflexive sheaves
Penacchio, O
COMPTES RENDUS MATHEMATIQUE, 2002, 335 (05) : 475 - 480
[38] TECHNIQUES OF CONSTRUCTIONS OF VARIATIONS OF MIXED HODGE STRUCTURES
Kasuya, Hisashi
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2018, 28 (02) : 393 - 442
[39] SPECTRAL SERIES OF MIXED HODGE-STRUCTURES
ELZEIN, F
ASTERISQUE, 1985, (130) : 308 - 329
[40] MIXED HODGE-STRUCTURES ON PUNCTURED NEIGHBORHOODS
DURFEE, AH
DUKE MATHEMATICAL JOURNAL, 1983, 50 (04) : 1017 - 1040

← 1 2 3 4 5 →