Higher-rank Brill-Noether loci on nodal reducible curves

Autor:	Sonia Brivio, Filippo F. Favale
Přispěvatelé:	Brivio, S, Favale, F
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Nodal curve Polarization FOS: Mathematics Primary: 14H60 Secondary: 14H51 14D20 14F06 Geometry and Topology Brill-Noether loci Algebraic Geometry (math.AG) Moduli space Stability
Popis:	In this paper we deal with Brill-Noether theory for higher-rank sheaves on a polarized nodal reducible curve $(C,\underline{w})$ following the ideas of [arXiv:alg-geom/9511003v1]. We study the Brill-Noether loci of $\underline{w}$-stable depth one sheaves on $C$ having rank $r$ on all irreducible components and having small slope. In analogy with what happens in the smooth case, we prove that these loci are closely related to BGN extensions. Moreover, we produce irreducible components of the expected dimension for these Brill-Noether loci. 21 pages. Comments are welcome
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::026c50abc771eccc33b9d1464d64ba8b https://hdl.handle.net/10281/403664 Zobrazit plný text záznamu