Published January 1, 2024 | Version v1
Journal article Open

Polynomial Analogs of Theta Functions and Rational Solutions of the KP Equation

  • 1. Univ Tubingen, Tubingen, Germany
  • 2. Koc Univ, Istanbul, Turkiye
  • 3. Coll Holy Cross, Worcester, MA USA

Description

In this paper we classify the singular curves whose theta divisors in their generalized Jacobians are algebraic, meaning that they are cut out by polynomial analogs of theta functions. We also determine the degree of an algebraic theta divisor in terms of the singularities of the curve. Furthermore, we show a precise relation between such algebraic theta functions and the corresponding tau functions for the KP hierarchy.

Files

bib-3c49cf18-0644-45c5-a50b-046b5c89c445.txt

Files (191 Bytes)

Name Size Download all
md5:e4c35b29f1cbbd150f5f13457b241991
191 Bytes Preview Download