On theta functions of order four

Yaacov Kopeliovich (1) , Christian Pauly (2) , Olivier Serman (3)

1 MEAG NY
2 I3M - Institut de Mathématiques et de Modélisation de Montpellier
3 LPP - Laboratoire Paul Painlevé - UMR 8524

We prove that the fourth powers of theta functions with even characteristics form a basis of the space of even theta functions of order four on a principally polarized Abelian variety without vanishing theta-null.

Domaines: Géométrie algébrique [math.AG]

Yaacov Kopeliovich, Christian Pauly, Olivier Serman. On theta functions of order four. 2009. ⟨hal-00326933v2⟩