Autor:	Auffarth, Robert, Lahoz, Martí, Naranjo, Juan Carlos
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry 14L30 14H40 14K10
Druh dokumentu:	Working Paper
Popis:	We show that for every g greater or equal than 5, the locus of Prym varieties in the moduli space of principally polarized abelian varieties of dimension g-1 that possess a pseudoreflection of geometric origin is the union of three different non-empty explicit irreducible families. This is in stark contrast to the loci of Jacobian varieties that possess a pseudoreflection of geometric origin, which is empty for any genus greater than 3. In g=6, a distinguished example of Prym varieties with a pseudoreflection is given by intermediate Jacobians of cubic threefolds that possess an Eckardt point. Comment: 17 pages, comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.04940 Zobrazit plný text záznamu View this record from Arxiv