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Cylinders in rational surfaces

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Abstract

Let S be a smooth rational surface with \(K^2_S\geqslant 3\). We show that there exist A-polar cylinders for a polarized pair (S, A) except when S is a smooth cubic surface and A is an anticanonical divisor.

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Authors and Affiliations

  1. Department of Mathematics, Stony Brook University, Stony Brook, NY, 11794-3651, USA

    Lisa Marquand

  2. Center for Geometry and Physics, Institute for Basic Science (IBS), 77 Cheongam-ro Nam-gu, Pohang, Gyeongbuk, 37673, Republic of Korea

    Joonyeong Won

Authors
  1. Lisa Marquand
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  2. Joonyeong Won
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Correspondence to Lisa Marquand.

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Marquand, L., Won, J. Cylinders in rational surfaces. European Journal of Mathematics 4, 1161–1196 (2018). https://doi.org/10.1007/s40879-018-0229-x

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  • DOI: https://doi.org/10.1007/s40879-018-0229-x

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