Real normalized differentials and Arbarello's conjecture
Algebraic Geometry
2012-05-15 v2 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
Using meromorphic differentials with real periods, we prove Arbarello's conjecture: any compact complex cycle of dimension in the moduli space of smooth genus algebraic curves must intersect the locus of curves having a Weierstrass point of order at most .
Cite
@article{arxiv.1112.6427,
title = {Real normalized differentials and Arbarello's conjecture},
author = {I. Krichever},
journal= {arXiv preprint arXiv:1112.6427},
year = {2012}
}
Comments
Final version to appear in "Functional analysis and its applications"