Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/194429
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lahoz Vilalta, Martí | - |
dc.contributor.author | Rojas, Andrés | - |
dc.date.accessioned | 2023-03-02T09:44:12Z | - |
dc.date.available | 2023-03-30T05:10:37Z | - |
dc.date.issued | 2022-03-30 | - |
dc.identifier.issn | 0219-1997 | - |
dc.identifier.uri | http://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.extent | 53 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | World Scientific Publishing | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1142/S0219199722500079 | - |
dc.relation.ispartof | Communications in Contemporary Mathematics, 2022 | - |
dc.relation.uri | https://doi.org/10.1142/S0219199722500079 | - |
dc.rights | (c) World Scientific Publishing, 2022 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Homologia | - |
dc.subject.classification | Geometria algebraica | - |
dc.subject.classification | Superfícies algebraiques | - |
dc.subject.classification | Àlgebra homològica | - |
dc.subject.classification | Categories (Matemàtica) | - |
dc.subject.other | Homology | - |
dc.subject.other | Algebraic geometry | - |
dc.subject.other | Algebraic surfaces | - |
dc.subject.other | Homological algebra | - |
dc.subject.other | Categories (Mathematics) | - |
dc.title | Chern degree functions | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 722666 | - |
dc.date.updated | 2023-03-02T09:44:12Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
722666.pdf | 1.11 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.