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Title:
Variational Formulas for the Period Matrix and Shimura-Teichmuller Curves
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Abstract:
We will introduce a parametric jump problem used to study how differentials degenerate at the boundary of the moduli space of Riemann surfaces in terms of plumbing parameters. In joint work with David Aulicino we are able to use these variational formulas to study Shimura-Teichmuller curves in genus 5. This is the only case left open in Moller's work.
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