East Asian mathematical journal

  • 제35권5호
  • /
  • Pages.589-595
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  • 2019
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  • 1226-6973(pISSN)
  • /
  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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DEFINING FIELDS OF SPECIAL SUPERSINGULAR K3 SURFACES

  • 투고 : 2019.03.22
  • 심사 : 2019.09.30
  • 발행 : 2019.09.30
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초록

In this paper, we prove that a special supersingular K3 surface of Artin invariant ${\sigma}$ over a field of odd characteristic p has a model over a finite field of $p^{2{\sigma}}$ elements.

키워드

참고문헌

  1. Bragg, D. and Lieblich, M. Twistor spaces for supersingular K3 surfaces, Arxiv:1804.07282v5.
  2. Jang,J. Representation of the automorphism group of a supersingular k3 surface of Artin-invariant 1 over odd characteristic, J. Chungcheong Math. Soc. 27, no.2, 2014, 287-295. https://doi.org/10.14403/jcms.2014.27.2.287
  3. Jang, J. The non-symplectic index of supersingular K3 surfaces, to appear at Taiwanese journal of mathematics.
  4. Milne, J. Algebraic Geometry, Lecture note, https://www.jmilne.org/math/CourseNotes/AG510.pdf
  5. Ogus, A. Supersingular K3 crystal, Asterisque 64, 1979, 3-86
  6. Ogus, A. A crystalline Torelli theorem for supersingular K3 surfaces, Prog. Math. 36, 1983, 361-394.