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Stability conditions and birational geometry of projective surfaces

Part of:Abelian categoriesBirational geometry

Published online by Cambridge University Press:  17 July 2014

Yukinobu Toda
Yukinobu Toda*
Affiliation:
Todai Institute for Advanced Studies (TODIAS), Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583, Japan email yukinobu.toda@ipmu.jp
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Abstract

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We show that the minimal model program on any smooth projective surface is realized as a variation of the moduli spaces of Bridgeland stable objects in the derived category of coherent sheaves.

Keywords

Bridgeland stability conditionsminimal model program

MSC classification

Secondary:18E30: Derived categories, triangulated categories14E30: Minimal model program (Mori theory, extremal rays)

Information

Type
Research Article
Information
Compositio Mathematica , Volume 150 , Issue 10 , October 2014, pp. 1755 - 1788
Copyright
© The Author 2014 

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