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
收藏
页码：109 / 128
页数：20
相关论文
共 50 条
  • [31] Moduli space of non-Abelian vortices
    Eto, M
    Isozumi, Y
    Nitta, M
    Ohashi, K
    Sakai, N
    PHYSICAL REVIEW LETTERS, 2006, 96 (16)
  • [32] Perfect forms and the moduli space of abelian varieties
    Shepherd-Barron, NI
    INVENTIONES MATHEMATICAE, 2006, 163 (01) : 25 - 45
  • [33] The Chow ring of the moduli space of abelian threefolds
    Van Der Geer, G
    JOURNAL OF ALGEBRAIC GEOMETRY, 1998, 7 (04) : 753 - 770
  • [34] The geometry of the moduli space of curves and abelian varieties
    Tommasi, Orsola
    SURVEYS ON RECENT DEVELOPMENTS IN ALGEBRAIC GEOMETRY, 2017, 95 : 81 - 100
  • [35] Moduli space of meromorphic differentials with marked horizontal separatrices
    Boissy, Corentin
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2020, 20 (05): : 2373 - 2412
  • [36] Covers of the projective line and the moduli space of quadratic differentials
    Dawei Chen
    Geometriae Dedicata, 2013, 163 : 105 - 125
  • [37] Connected components of the strata of the moduli space of meromorphic differentials
    Boissy, Corentin
    COMMENTARII MATHEMATICI HELVETICI, 2015, 90 (02) : 255 - 286
  • [38] Classification of genus 3 curves in special strata of the moduli space
    Girard, Martine
    Kohel, David R.
    ALGORITHMIC NUMBER THEORY, PROCEEDINGS, 2006, 4076 : 346 - 360
  • [39] Nonvarying sums of Lyapunov exponents of Abelian differentials in low genus
    Chen, Dawei
    Moeller, Martin
    GEOMETRY & TOPOLOGY, 2012, 16 (04) : 2427 - 2479
  • [40] Masur-Veech volumes and intersection theory on moduli spaces of Abelian differentials
    Chen, Dawei
    Moeller, Martin
    Sauvaget, Adrien
    Zagier, Don
    INVENTIONES MATHEMATICAE, 2020, 222 (01) : 283 - 373
12345