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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On $K3$ surfaces which dominate Kummer surfaces
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by Shouhei Ma PDF
Proc. Amer. Math. Soc. 141 (2013), 131-137 Request permission

Abstract:

We study isogeny relations between $K3$ surfaces and Kummer surfaces. Specifically, we prove a Torelli-type theorem for the existence of rational maps from $K3$ surfaces to Kummer surfaces, and a Kummer sandwich theorem for $K3$ surfaces with Shioda-Inose structure.
References
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Additional Information
  • Shouhei Ma
  • Affiliation: Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
  • Address at time of publication: Graduate School of Mathematics, Nagoya University, Furō-chō, Chikusa-ku, Nagoya 464-8602, Japan
  • Email: sma@ms.u-tokyo.ac.jp, ma@math.nagoya-u.ac.jp
  • Received by editor(s): March 17, 2011
  • Received by editor(s) in revised form: June 12, 2011
  • Published electronically: May 15, 2012
  • Communicated by: Lev Borisov
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 131-137
  • MSC (2010): Primary 14J28; Secondary 14E05
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11302-4
  • MathSciNet review: 2988717