Slopes of Siegel cusp forms and geometry of compactified Kuga varieties
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arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866913953944174592 |
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| author | Poon, Flora Manni, Riccardo Salvati Sankaran, Gregory |
| author_facet | Poon, Flora Manni, Riccardo Salvati Sankaran, Gregory |
| contents | We study the Kodaira dimension of the compactified n-fold Kuga variety over the moduli space of principally polarised abelian g-folds. We construct a suitable compactification, which we call a Namikawa compactification, and show that in most cases it has canonical singularities. We then use results about the slope of Siegel modular forms to determine the Kodaira dimension for all g>1 and n>0. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_06142 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Slopes of Siegel cusp forms and geometry of compactified Kuga varieties Poon, Flora Manni, Riccardo Salvati Sankaran, Gregory Algebraic Geometry 14K10 (Primary), 11F46 We study the Kodaira dimension of the compactified n-fold Kuga variety over the moduli space of principally polarised abelian g-folds. We construct a suitable compactification, which we call a Namikawa compactification, and show that in most cases it has canonical singularities. We then use results about the slope of Siegel modular forms to determine the Kodaira dimension for all g>1 and n>0. |
| title | Slopes of Siegel cusp forms and geometry of compactified Kuga varieties |
| topic | Algebraic Geometry 14K10 (Primary), 11F46 |
| url | https://arxiv.org/abs/2109.06142 |