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Why should a birational geometer care about Bridgeland stability conditions?

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Abstract

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.

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Acknowledgments

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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Correspondence to Claudio Fontanari.

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This research was partially supported by FIRB 2012 “Moduli spaces and Applications” and by GNSAGA of INdAM (Italy).

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Fontanari, C., Martinelli, D. Why should a birational geometer care about Bridgeland stability conditions?. Boll Unione Mat Ital 11, 69–74 (2018). https://doi.org/10.1007/s40574-016-0091-z

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  • DOI: https://doi.org/10.1007/s40574-016-0091-z

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