Hodge cycles and quadratic relations between holomorphic periods on CM abelian varieties

Autor: Gao, Ziyang, Ullmo, Emmanuel
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