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Classification of 2-dimensional graded normal hypersurfaces with a(R) ≤ 6

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Abstract

We classify 2-dimensional normal weighted homogeneous hypersurface R = k[X, Y, Z]/(f) with given a-invariant a(R) ≤ 6. We show that for a(R) > 0, the number of “types” are finite.

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Authors and Affiliations

  1. Department of Mathematics, College of Humanities and Sciences, Nihon University, Setagaya-ku, Tokyo, 156-8550, Japan

    Kei-ichi Watanabe

Authors
  1. Kei-ichi Watanabe
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Correspondence to Kei-ichi Watanabe.

Additional information

This work was partially supported by JSPS Grant-in-Aid for Scientific Research (C) Grant Numbers 25400050.

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Watanabe, Ki. Classification of 2-dimensional graded normal hypersurfaces with a(R) ≤ 6. Bull Braz Math Soc, New Series 45, 887–920 (2014). https://doi.org/10.1007/s00574-014-0081-7

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  • DOI: https://doi.org/10.1007/s00574-014-0081-7

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