Bollettino dell'Unione Matematica Italiana

, Volume 11, Issue 1, pp 69–74 | Cite as

Why should a birational geometer care about Bridgeland stability conditions?

  • Claudio Fontanari
  • Diletta Martinelli


In this survey we borrow from Coskun and Huizenga an example of application of Bridgeland stability conditions to birational geometry and we rephrase it without assuming any previous knowledge about derived categories.


Stability condition Ample cone Moduli space Coherent sheaf 

Mathematics Subject Classification

14J60 14E30 



This project started during the visit of D. Martinelli at the Department of Mathematics at the University of Trento. She wishes to thank this institute for the warm hospitality. C. Fontanari and D. Martinelli would like to thank Arend Bayer for useful comments and suggestions.


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Copyright information

© Unione Matematica Italiana 2016

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità degli Studi di TrentoPovoItaly
  2. 2.Department of MathematicsImperial College LondonLondonUK

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