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2021 Harmonic theta series and the Kodaira dimension of $\mathcal{A}_6$
Moritz Dittmann, Riccardo Salvati Manni, Nils R. Scheithauer
Algebra Number Theory 15(1): 271-285 (2021). DOI: 10.2140/ant.2021.15.271

Abstract

We construct a basis of the space S14(Sp12()) of Siegel cusp forms of degree 6 and weight 14 consisting of harmonic theta series. One of these functions has vanishing order 2 at the boundary which implies that the Kodaira dimension of 𝒜6 is nonnegative.

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Moritz Dittmann. Riccardo Salvati Manni. Nils R. Scheithauer. "Harmonic theta series and the Kodaira dimension of $\mathcal{A}_6$." Algebra Number Theory 15 (1) 271 - 285, 2021. https://doi.org/10.2140/ant.2021.15.271

Information

Received: 29 January 2020; Revised: 9 June 2020; Accepted: 12 July 2020; Published: 2021
First available in Project Euclid: 17 March 2021

Digital Object Identifier: 10.2140/ant.2021.15.271

Subjects:
Primary: 14J15

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.15 • No. 1 • 2021
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