Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
11/2019

A Thomae-like Formula: Algebraic Computations of Theta Constants

Türkü Özlüm Çelik

Abstract

We give an algebraic method to compute the fourth power of the quotient of any even theta constants associated to a given non-hyperelliptic curve in terms of geometry of the curve. In order to apply the method, we work out non-hyperelliptic curves of genus 4, in particular, such curves lying on a singular quadric, which arise from del Pezzo surfaces of degree 1. Indeed, we obtain a complete 2-level structure of the curves by studying their theta characteristic divisors via exceptional divisors of the del Pezzo surfaces as the structure is required for the method.

Received:
25.01.19
Published:
28.01.19
MSC Codes:
14H42, 14Q05

Related publications

inJournal
2021 Journal Open Access
Türkü Özlüm Celik

Thomae-Weber formula : algebraic computations of theta constants

In: International mathematics research notices, 2021 (2021) 23, pp. 17798-17822