DEFORMATION THEORY OF FUCHSIAN EQUATIONS AND LOGARITHMIC CONNECTIONS

被引：2

作者：

Szabo, Szilard ^{[1
]}

机构：

[1] Budapest Univ Technol & Econ, Dept Geometry, H-1111 Budapest, Hungary

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2012年 / 49卷 / 04期

关键词：

Fuchsian differential equation; accessory parameters; logarithmic connection; parabolic structure; Hodge structure; BUNDLES; CURVES;

D O I：

10.1556/SScMath.49.2012.4.1215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by a remark and a question of Nicholas Katz, we characterize the tangent space of the space of Fuchsian equations with given generic exponents inside the corresponding moduli space of logarithmic connections: we construct a weight 1 Hodge structure on the tangent space of the moduli of logarithmic connections such that deformations of Fuchsian equations correspond to the (1,0)-part.

引用

页码：466 / 481

页数：16

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