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http://hdl.handle.net/2445/194429
Title: | Chern degree functions |
Author: | Lahoz Vilalta, Martí Rojas, Andrés |
Keywords: | Homologia Geometria algebraica Superfícies algebraiques Àlgebra homològica Categories (Matemàtica) Homology Algebraic geometry Algebraic surfaces Homological algebra Categories (Mathematics) |
Issue Date: | 30-Mar-2022 |
Publisher: | World Scientific Publishing |
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. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1142/S0219199722500079 |
It is part of: | Communications in Contemporary Mathematics, 2022 |
URI: | http://hdl.handle.net/2445/194429 |
Related resource: | https://doi.org/10.1142/S0219199722500079 |
ISSN: | 0219-1997 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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722666.pdf | 1.11 MB | Adobe PDF | View/Open |
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