Relative period realization of holomorphic differentials with prescribed invariants

Published 27 Mar 2025 in math.GT and math.AG | (2503.21316v1)

Abstract: We provide a complete description of realizable relative period representations for holomorphic differentials on Riemann surfaces with prescribed orders of zeros and additional invariants given by the hyperelliptic structure and spin parity. This answers a question posed by Simion Filip.

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