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- W1646081421 abstract "We study modular fibers of elliptic differentials, which are roughly spaces of torus-coverings over a fixed base torus. For genus 2 torus covers with fixed degree we show, that the modular fibers F_d(1,1) are itself connected torus covers with Veech group SL_2(Z). Using results of Eskin, Masur and Schmoll we calculate the Euler Characteristic and the parity of the spin structure of the quadratic differential (F_d(1,1)/(-id),q_d). We state and apply formulas for the asymptotic quadratic growth rates of various types of geodesic segments on a surface S contained in F_d(1,1). The quadratic growth rates are expressed in terms of the SL_2(Z) orbit closure of S in F_d(1,1) and the flat geometry of F_d(1,1)." @default.
- W1646081421 created "2016-06-24" @default.
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- W1646081421 date "2006-02-17" @default.
- W1646081421 modified "2023-09-27" @default.
- W1646081421 title "Spaces of elliptic differentials" @default.
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