dc.contributor.author
Lahoz Vilalta, Martí
dc.contributor.author
Rojas, Andrés
dc.date.issued
2023-03-02T09:44:12Z
dc.date.issued
2023-03-30T05:10:37Z
dc.date.issued
2022-03-30
dc.date.issued
2023-03-02T09:44:12Z
dc.identifier
https://hdl.handle.net/2445/194429
dc.description.abstract
We introduce Chern degree functions for complexes of coherent sheaves on a polarized surface, which encode information given by stability conditions on the boundary of the $(\alpha, \beta)$-plane. We prove that these functions extend to continuous real valued functions and we study their differentiability in terms of stability. For abelian surfaces, Chern degree functions coincide with the cohomological rank functions defined by Jiang-Pareschi. We illustrate in some geometrical situations a general strategy to compute these functions.
dc.format
application/pdf
dc.format
application/pdf
dc.publisher
World Scientific Publishing
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1142/S0219199722500079
dc.relation
Communications in Contemporary Mathematics, 2022
dc.relation
https://doi.org/10.1142/S0219199722500079
dc.rights
(c) World Scientific Publishing, 2022
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Geometria algebraica
dc.subject
Superfícies algebraiques
dc.subject
Àlgebra homològica
dc.subject
Categories (Matemàtica)
dc.subject
Algebraic geometry
dc.subject
Algebraic surfaces
dc.subject
Homological algebra
dc.subject
Categories (Mathematics)
dc.title
Chern degree functions
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
