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Correspondence Scrolls

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Abstract

This paper initiates the study of a class of schemes that we call correspondence scrolls, which includes the rational normal scrolls and linearly embedded projective bundle of decomposable bundles, as well as degenerate K3 surfaces, Calabi-Yau threefolds, and many other examples.

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Acknowledgements

The first author was partially supported by NSF grant No. 1502190. He would like to thank Frank-Olaf Schreyer, who pointed out in their joint work that the K3 carpets could be regarded as coming from correspondences. The second author was supported by NSF grant No. 1440140 while he was a Postdoctoral Fellow at the Mathematical Sciences Research Institute in Berkeley, CA. He would like to thank Aldo Conca and Matteo Varbaro for some helpful comments.

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Authors and Affiliations

  1. Mathematical Sciences Research Institute, 17 Gauss Way, Berkeley, CA, 94720, USA

    David Eisenbud

  2. Department of Mathematics, University of Notre Dame, 255 Hurley, Notre Dame, IN, 46556, USA

    Alessio Sammartano

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  1. David Eisenbud
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  2. Alessio Sammartano
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Correspondence to David Eisenbud.

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Eisenbud, D., Sammartano, A. Correspondence Scrolls. Acta Math Vietnam 44, 101–116 (2019). https://doi.org/10.1007/s40306-018-0296-6

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  • DOI: https://doi.org/10.1007/s40306-018-0296-6

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