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. © 2013 Springer Science+Business Media Dordrecht.
The fine structure of the moduli space of abelian differentials in genus 3 / Eduard, Looijenga; Mondello, Gabriele. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - STAMPA. - 169:1(2014), pp. 109-128. [10.1007/s10711-013-9845-2]
The fine structure of the moduli space of abelian differentials in genus 3
MONDELLO, GABRIELE
2014
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. © 2013 Springer Science+Business Media Dordrecht.File allegati a questo prodotto
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