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Universal periods of hyperelliptic curves and their applications

✍ Scribed by Takashi Ichikawa

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 128 KB
Volume: 163
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(00)00164-x

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✦ Synopsis

We construct universal power series for di erential 1-forms and period integrals of Schottky-Mumford uniformized hyperelliptic curves over local ÿelds. Using these universal 1-forms and periods, we characterize Siegel modular forms vanishing on the hyperelliptic Jacobian locus, and construct universal and p-adic solutions of the Korteweg-de Vries hierarchy.

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