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On the projective structures given by theta

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arxiv 2504.15866 v2 pith:3K5AKQ5D submitted 2025-04-22 math.AG

Indranil Biswas , Luca Vai This is my paper · ORCID
classification math.AG
keywords projectivegivenstructurethetacompactinvestigatelinenatural
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abstract

Given a compact Riemann surface $C$, the line in $H^0(J_C,\, 2\Theta)$ orthogonal to the sections vanishing at $0$ produces a natural projective structure on $C$. We investigate the properties of this projective structure.

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  1. Prym varieties and projective structures on Riemann surfaces

    math.AG 2025-06 conditional novelty 7.0 of 10

    Prym varieties of etale double covers produce canonical projective structures whose variation is governed by Thetanullwert maps, and this variation is nonzero, so the base structure depends on the cover.

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