Hodge cycles and quadratic relations between holomorphic periods on CM abelian varieties
Autor: | Gao, Ziyang, Ullmo, Emmanuel |
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Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | In this paper, we prove the following result advocating the importance of monomial quadratic relations between holomorphic CM periods. For any simple CM abelian variety $A$, we can construct a CM abelian variety $B$ such that all non-trivial Hodge relations between the holomorphic periods of the product $A\times B$ are generated by monomial quadratic ones which are also explicit. Moreover, $B$ splits over the Galois closure of the CM field associated with $A$. Comment: 31 pages. Comments are welcome |
Databáze: | arXiv |
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