English

On the projective structures given by theta

Algebraic Geometry 2025-04-23 v1

Abstract

Given a compact Riemann surface CC, the line in H0(JC,2Θ)H^0(J_C,\, 2\Theta) orthogonal to the sections vanishing at 00 produces a natural projective structure on CC. We investigate the properties of this projective structure.

Keywords

Cite

@article{arxiv.2504.15866,
  title  = {On the projective structures given by theta},
  author = {Indranil Biswas and Luca Vai},
  journal= {arXiv preprint arXiv:2504.15866},
  year   = {2025}
}
R2 v1 2026-06-28T23:07:10.660Z