The fine structure of the moduli space of abelian differentials in genus 3

被引：14

作者：

Looijenga, Eduard ^{[1
]}

Mondello, Gabriele ^{[2
]}

机构：

[1] Univ Utrecht, Math Inst, NL-3508 TA Utrecht, Netherlands

[2] Univ Roma La Sapienza, Dipartimento Matemat Guido Castelnuovo, I-00185 Rome, Italy

来源：

GEOMETRIAE DEDICATA | 2014年 / 169卷 / 01期

关键词：

Abelian differentials; Translation surfaces; Moduli space of curves; Root systems; Artin groups; SURFACES;

D O I：

10.1007/s10711-013-9845-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The moduli space of curves endowed with a nonzero abelian differential admits a natural stratification according to the configuration of its zeroes. We give a description of these strata for genus 3 in terms of root system data. For each non-open stratum we obtain a presentation of its orbifold fundamental group.

引用

页码：109 / 128

页数：20

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