Proceedings of the American Mathematical Society

Author(s): Cris Poor
Journal: Proc. Amer. Math. Soc. 124 (1996), 1987-1991.
MSC (1991): Primary 11F46; Secondary 14K25, 11E45
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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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