Abstract
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.
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.
| Original language | English |
|---|---|
| Pages (from-to) | 109–128 |
| Number of pages | 20 |
| Journal | Geometriae Dedicata |
| Volume | 169 |
| DOIs | |
| Publication status | Published - 2014 |
Keywords
- Abelian differentials
- Translation surfaces
- Moduli space of curves
- Root systems
- Artin groups