Avui, dilluns 8 de juny, el Dipòsit Digital no estarà operatiu de 15:00 a 17:00 h per tasques de manteniment. Disculpeu les molèsties.
Hoy, lunes 8 de junio, el Dipòsit Digital no estará operativo de 15:00 a 17:00 h debido a tareas de mantenimiento. Disculpen las molestias.
Today, Monday, Jun 8th, the Digital Repository will be unavailable due to a system update.

Files

722666.pdf (1.08 MB)

Document type

Article

Version

Accepted version

Publication date

2023

All rights reserved

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/194429

Chern degree functions

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

https://doi.org/10.1142/S0219199722500079

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.

Subject

Homologia, Geometria algebraica, Superfícies algebraiques, Àlgebra homològica, Categories (Matemàtica)

Subject (English)

Homology, Algebraic geometry, Algebraic surfaces, Homological algebra, Categories (Mathematics)

Citation

Collections

Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

LAHOZ VILALTA, Martí and ROJAS, Andrés. Chern degree functions. Communications in Contemporary Mathematics. 2023. ISSN 0219-1997. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/194429

Export metadata

JSON - METS

Share record