Prym-Brill-Noether theory for ramified double covers

Autor:	Bud, Andrei
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We initiate the study of Prym-Brill-Noether theory for ramified double covers, extending several key results from classical Prym-Brill-Noether theory to this new framework. In particular, we improve Kanev's results on the dimension of pointed Prym-Brill-Noether loci for ramified double covers. Additionally, we compute the dimension of twisted Prym-Brill-Noether loci with vanishing conditions at points, thus extending the results of Tarasca. Furthermore, we compute the class of the twisted Prym-Brill-Noether loci inside (a translation of) the Prym variety, thus extending the results of de Concini and Pragacz to ramified double covers. Finally, we prove that a generic Du Val curve is Prym-Brill-Noether general. Comment: 26 pages, comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.00716 Zobrazit plný text záznamu View this record from Arxiv