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Which K3 surfaces with Picard number 19 cover an Enriques surface

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We determine which K3 surface with Picard number 19 is a K3 cover of an Enriques surface.

Abstract

We determine which K3 surface with Picard number 19 is a K3 cover of an Enriques surface.

참고문헌 (5)

  1. W. Barth, "Compact Complex Surfaces" (2004), Springer- Verlag
  2. M. Eichler, "Quadratische formen und orthogonal gruppen" (1952), Springer-Verlag
  3. J. Keum, "Every algebraic Kummer surface is the K3-cover of an Enriques surface", Nagoya Math. J, 118, pp.99~110 (1990)
  4. V. Nikulin, "Integral symmetric bilinear forms and some of their applications", Math. USSR Izvestija, 14(1), pp.103~167 (1980)
  5. A. Sertoz, "Which singular K3 surfaces cover an Enriques surface", Proc. Amer. Math. Soc, 133(1), pp.43~50 (2005)

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