On the non-Transversality of the Hyperelliptic Locus and the Supersingular Locus for $g=3$

Author:

Andreas Pieper

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Number Theory (math.NT)

journal:

--

date:

2023-08-06 16:00:00

Abstract

This paper gives a criterion for a moduli point to be a point of non-transversal intersection of the hyperelliptic locus and the supersingular locus in the Siegel moduli stack $\mathfrak{A}_3 \times \mathbb{F}_p$. It is shown that for infinitely many primes $p$ there exists such a point.