On the asymptotics of determinant of Laplacian at the principal boundary of the principal stratum of the moduli space of Abelian differentials

Details On the asymptotics of determinant of Laplacian at the principal boundary of the principal stratum of the moduli space of Abelian differentials On the asymptotics of determinant of Laplacian at the principal boundary of the principal stratum of the moduli space of Abelian differentials

2009-08-11

arxiv.org/abs/0908.1594v1

Mathematics

Differential Geometry

Scientific paper

We study the asymptotics of the determinant of Laplacian on a translation
surface (a compact Riemann surface equipped with a conformal flat conical
metric with trivial holonomy) of genus g with 2g-2 conical points of angle 4\pi
as two conical points collide.

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