Work

Igusa's map on modular forms vanishing on the hyperelliptic locus

Year: 2023

Type: preprint

Abstract: We extend Igusa's map $ρ$ to modular forms which vanish on the hyperelliptic locus of the Siegel upper half-plane. The lowest non-vanishing derivatives of such modular forms are computed with the help of the general Thomae formula, they serve as vector-valued modular forms. This approach is illustrated by examples in genera $3$ and $4$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2306.14889

Authors: Bernatska, J, Kopeliovich, Y

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4382404418

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