SL(2)-ORBIT THEOREM FOR DEGENERATION OF MIXED HODGE STRUCTURE

被引：24

作者：

Kato, Kazuya ^{[1
]}

Nakayama, Chikara ^{[2
]}

Usui, Sampei ^{[3
]}

机构：

[1] Kyoto Univ, Grad Sch Sci, Sakyo Ku, Kyoto 6068502, Japan

[2] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan

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

来源：

JOURNAL OF ALGEBRAIC GEOMETRY | 2008年 / 17卷 / 03期

关键词：

D O I：

10.1090/S1056-3911-07-00486-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Cattani, Kaplan and Schmid (1986) established the SL(2)-orbit theorem in several variables for the degeneration of polarized Hodge structure. The aim of the present paper is to generalize it for the degeneration of mixed Hodge structure whose graded quotients by the weight filtration are polarized, As an application, we obtain a mixed Hodge version of an estimate of the Hodge metric for the degeneration of polarized Hodge structure.

引用

页码：401 / 479

页数：79

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