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arxiv: 0810.1010 · v2 · pith:CWAGJVCInew · submitted 2008-10-06 · 🧮 math.AG

On theta functions of order four

classification 🧮 math.AG
keywords functionsthetaevenfourorderabelianbasischaracteristics
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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.

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