On $K3$ surfaces which dominate Kummer surfaces
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- by Shouhei Ma PDF
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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