Schottky’s form and the hyperelliptic locus

Poor, Cris

doi:10.1090/S0002-9939-96-03312-6

Schottky’s form and the hyperelliptic locus
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by Cris Poor PDF

Proc. Amer. Math. Soc. 124 (1996), 1987-1991 Request permission

Abstract:

We show that Schottky’s modular form, $J_{g}$, has in every genus an irreducible divisor which contains the hyperelliptic locus. We also improve a corollary of Igusa concerning Siegel modular forms that must necessarily vanish on the hyperelliptic locus.

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