Hodge conjecture for the moduli space of semi-stable sheaves over a nodal curve

Autor:	Ananyo Dan, Inder Kaur
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry 14C30 32S35 14D07 32G20 14D20 14D22 14D05 Applied Mathematics FOS: Mathematics Algebraic Geometry (math.AG)
Zdroj:	Annali di Matematica Pura ed Applicata (1923 -). 201:2907-2926
ISSN:	1618-1891 0373-3114
DOI:	10.1007/s10231-022-01225-7
Popis:	In this article, we prove the Hodge conjecture for a desingularization of the moduli space of rank 2, semi-stable, torsion-free sheaves with fixed odd degree determinant over a very general irreducible nodal curve of genus at least 2. We also compute the algebraic Poincare polynomial of the associated cohomology ring. Comment: To appear in Annali di Matematica Pura ed Applicata
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c34834aca6b5d8a17e865ea1d8053444 https://doi.org/10.1007/s10231-022-01225-7 Zobrazit plný text záznamu Full text from SpringerLink