Research Project: Theta Functions and their Applications
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Contributors
Funders
ID
TB.00757
Authors
Çelik, Türkü Özlüm
Researcher
Publications
Polynomial analogs of theta functions and rational solutions of the KP equation
(Oxford University Press, 2024)
Agostini, Daniele
Little, John B.
Department of Molecular Biology and Genetics
No
Çelik, Türkü Özlüm
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.