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An Example of Mirror Symmetry for Fano Threefolds

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Birational Geometry and Moduli Spaces

Part of the book series: Springer INdAM Series ((SINDAMS,volume 39))

Abstract

In this note we illustrate the Fanosearch programme of Coates, Corti, Galkin, Golyshev, and Kasprzyk in the example of the anticanonical cone over the smooth del Pezzo surface of degree 6.

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Acknowledgements

I am indebted to Tom Coates, Alessio Corti, Paul Hacking, Alexander Kasprzyk, Thomas Prince, and the other members of the Fanosearch group for countless fruitful conversations about the topics of this note. I wish to thank the organisers of the conference “Birational geometry and moduli spaces”, held in Rome in June 2018, for giving me the opportunity to present a poster about this subject. Finally, I would like to thank Enrica Floris, Luigi Lunardon, and Diletta Martinelli for useful comments on a preliminary version of this note.

The author was funded by Kasprzyk’s EPSRC Fellowship EP/N022513/1.

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Authors and Affiliations

  1. Institut für Mathematik, Freie Universität Berlin, Berlin, Germany

    Andrea Petracci

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  1. Andrea Petracci
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Correspondence to Andrea Petracci .

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Editors and Affiliations

  1. Department of Mathematics, University of Milan, Milano, Italy

    Elisabetta Colombo

  2. SISSA - International School for Advanced Studies, Trieste, Italy

    Barbara Fantechi

  3. Department of Mathematics, University of Pavia, Pavia, Italy

    Paola Frediani

  4. Department of Mathematics, Università degli Studi di Bari, Bari, Italy

    Donatella Iacono

  5. Department of Mathematics, University of Pisa, Pisa, Italy

    Rita Pardini

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Petracci, A. (2020). An Example of Mirror Symmetry for Fano Threefolds. In: Colombo, E., Fantechi, B., Frediani, P., Iacono, D., Pardini, R. (eds) Birational Geometry and Moduli Spaces. Springer INdAM Series, vol 39. Springer, Cham. https://doi.org/10.1007/978-3-030-37114-2_10

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