Degeneracy loci in the universal family of abelian varieties

Autor:	Gao, Ziyang, Habegger, Philipp
Rok vydání:	2023
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry 11G10 11G50 14G25 14K15
Druh dokumentu:	Working Paper
Popis:	Recent developments on the uniformity of the number of rational points on curves and subvarieties in a moving abelian variety rely on the geometric concept of the degeneracy locus. The first-named author investigated the degeneracy locus in certain mixed Shimura varieties. In this expository note we revisit some of these results while minimizing the use of mixed Shimura varieties while working in a family of principally polarized abelian varieties. We also explain their relevance for applications in diophantine geometry. Comment: Comments are welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.04936 Zobrazit plný text záznamu View this record from Arxiv