Generic level $p$ Eisenstein congrunces for GSp$_4$

Dan Fretwell

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arXiv · 1605.03450

Generic level $p$ Eisenstein congrunces for GSp$_4$

Dan Fretwell

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Abstract

We investigate level $p$ Eisenstein congruences for GSp$_4$, generalisations of level $1$ congruences predicted by Harder. By studying the associated Galois and automorphic representations we see conditions that guarantee the existence of a paramodular form satisfying the congruence. This provides theoretical justification for computational evidence found in the author's previous paper.

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Dan Fretwell. 2016-12-20. Generic level $p$ Eisenstein congrunces for GSp$_4$. https://arxiv.org/abs/1605.03450

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