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\( {\mathbbm{G}}_a \)-ACTIONS ON THE COMPLEMENTS OF HYPERSURFACES

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Abstract

Let S be a del Pezzo surface with at worst Du Val singularities such that it is a hypersurface in a weighted projective space ℙ. We prove that the surface S contains a (−KS)-polar cylinder if and only if the automorphism group of the affine variety ℙ \ S contains a unipotent subgroup.

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Authors and Affiliations

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

    JIHUN PARK

  2. Department of Mathematics, POSTECH, 77 Cheongam-ro, Nam-gu, Pohang, Gyeongbuk, 37673, Korea

    JIHUN PARK

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  1. JIHUN PARK
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Correspondence to JIHUN PARK.

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This work has been supported by IBS-R003-D1, Institute for Basic Science in Korea.

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PARK, J. \( {\mathbbm{G}}_a \)-ACTIONS ON THE COMPLEMENTS OF HYPERSURFACES. Transformation Groups 27, 651–657 (2022). https://doi.org/10.1007/s00031-020-09589-x

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