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Harmonic theta series and the Kodaira dimension of $\mathcal{A}_6$
- Source :
- Alg. Number Th. 15 (2021) 271-285
- Publication Year :
- 2019
-
Abstract
- We construct a basis of the space ${\text S}_{14}({\text{Sp}}_{12}({\mathbb Z}))$ 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 $\mathcal{A}_6$ is non-negative.
Details
- Database :
- arXiv
- Journal :
- Alg. Number Th. 15 (2021) 271-285
- Publication Type :
- Report
- Accession number :
- edsarx.1909.07062
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.2140/ant.2021.15.271