Change of Polarization for Moduli of Sheaves on Surfaces as Bridgeland Wall-crossing

Aaron Bertram; Cristian Martinez

doi:10.1093/imrn/rny065

Change of Polarization for Moduli of Sheaves on Surfaces as Bridgeland Wall-crossing

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Resumen

We prove that the "Thaddeus flips" of L-twisted sheaves constructed by Matsuki and Wentworth explaining the change of polarization for Gieseker semistable sheaves on a surface can be obtained via Bridgeland wall-crossing. Similarly, we realize the change of polarization for moduli spaces of one-dimensional Gieseker semistable sheaves on a surface by varying a family of stability conditions.

Idioma original	Inglés estadounidense
Páginas (desde-hasta)	2007-2033
Número de páginas	27
Publicación	International Mathematics Research Notices
Volumen	2020
N.º	7
DOI	https://doi.org/10.1093/imrn/rny065
Estado	Publicada - abr. 8 2020
Publicado de forma externa	Sí

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Matemáticas General

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10.1093/imrn/rny065

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author = "Aaron Bertram and Cristian Martinez",

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AB - We prove that the "Thaddeus flips" of L-twisted sheaves constructed by Matsuki and Wentworth explaining the change of polarization for Gieseker semistable sheaves on a surface can be obtained via Bridgeland wall-crossing. Similarly, we realize the change of polarization for moduli spaces of one-dimensional Gieseker semistable sheaves on a surface by varying a family of stability conditions.

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Change of Polarization for Moduli of Sheaves on Surfaces as Bridgeland Wall-crossing

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