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

共 50 条

[41] Correction to: Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials
Dawei Chen
Martin Möller
Adrien Sauvaget
Don Zagier
Inventiones mathematicae, 2021, 225 : 691 - 692
[42] The maximum number of systoles for genus two Riemann surfaces with abelian differentials
Judge, Chris
Parlier, Hugo
COMMENTARII MATHEMATICI HELVETICI, 2019, 94 (02) : 399 - 437
[43] The moduli space of smooth ample hypersurfaces in Abelian varieties
Catanese, Fabrizio
Lee, Yongnam
ADVANCES IN MATHEMATICS, 2020, 365
[44] DIMENSION THEORY OF THE MODULI SPACE OF TWISTED k-DIFFERENTIALS
Schmitt, Johannes
DOCUMENTA MATHEMATICA, 2018, 23 : 871 - 894
[45] k-DIFFERENTIALS ON CURVES AND RIGID CYCLES IN MODULI SPACE
Mullane, Scott
DOCUMENTA MATHEMATICA, 2021, 26 : 1817 - 1850
[46] The moduli space of bilevel-6 abelian surfaces
Sankaran, GK
Spandaw, JG
NAGOYA MATHEMATICAL JOURNAL, 2002, 168 : 113 - 125
[47] Another canonical compactification of the moduli space of abelian varieties
Nakamura, Iku
SAPPORO 2007: ALGEBRAIC AND ARITHMETIC STRUCTURES OF MODULI SPACES, 2010, 58 : 69 - 135
[48] Newton polygon strata in the moduli space of Abelian varieties
Oort, F
MODULI OF ABELIAN VARIETIES, 2000, 195 : 417 - 440
[49] ON THE KODAIRA DIMENSION OF THE MODULI SPACE OF ABELIAN-VARIETIES
TAI, YS
INVENTIONES MATHEMATICAE, 1982, 68 (03) : 425 - 439
[50] On the dimension of Voisin sets in the moduli space of abelian varieties
E. Colombo
J. C. Naranjo
G. P. Pirola
Mathematische Annalen, 2021, 381 : 91 - 104

← 1 2 3 4 5 →