Tau function and moduli of spin curves

2014/05/30 by Mikhail Basok, Basok, Mikhail
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1405.7865

openalex publication_date 2014/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The goal of the paper is to give an analytic proof of the formula of G. Farkas for the divisor class of spinors with multiple zeros in the moduli space of odd spin curves. We make use of the technique developed by Korotkin and Zograf that is based on properties of the Bergman tau function. We also show how the Farkas formula for the \it theta-null in the rational Picard group of the moduli space of even spin curves can be derived from classical theory of theta functions.

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