Theta functions of superelliptic curves
L. Beshaj, A. Elezi, T. Shaska
TL;DR
This paper surveys the theta functions associated with algebraic superelliptic curves, focusing on their properties, computation, and the structure of the moduli space.
Contribution
It provides a comprehensive description of theta functions, half-integer theta-nulls, and fundamental theta functions for superelliptic curves, including methods to determine them.
Findings
Characterization of theta functions for superelliptic curves
Methods to compute fundamental theta functions
Description of moduli space components in terms of theta functions
Abstract
In this short survey we give a description of the theta functions of algebraic curves, half-integer theta-nulls, and the fundamental theta functions. We describe how to determine such fundamental theta functions and describe the components of the moduli space in terms of such functions.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Analytic Number Theory Research