Singular curves and their theta functions

Abstract: Riemann's theta function becomes polynomial when the underlying curve degenerates to a singular curve. We will give a classification of such curves accompanied by historical remarks on the topic. We will touch on relations of such theta functions with solutions of the Kadomtsev-Petviashvili hierarchy if time permits.

algebraic geometry

Audience: researchers in the discipline

ODTU-Bilkent Algebraic Geometry Seminars