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Speaker:

Jonathan Zachhuber
Affiliation:

U Frankfurf
Date:

Thu, 2015-07-16 16:30 - 17:30
Location:

MPIM Lecture Hall
Parent event:

Oberseminar Differentialgeometrie Teichmüller curves are special curves in the moduli space M_g that

exhibit interesting arithmetic and geometric properties. We calculate

the number and types of orbifold points for a class of Teichmüller

curves inside M_3, thus completing their topological classification.

Crucial for the determination of the orbifold points is the analysis of

families of genus 3 cyclic covers of degree 4 and 6, branched over four

points of P 1. As a side product of our study, we provide an explicit

description of the Jacobians and the Prym-Torelli images of these two

families.

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