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Generalized Shioda–Inose structures on K3 surfaces

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Abstract:

In this note, we study the action of finite groups of symplectic automorphisms on K3 surfaces which yield quotients birational to generalized Kummer surfaces. For each possible group, we determine the Picard number of the K3 surface admitting such an action and for singular K3 surfaces we show the uniqueness of the associated abelian surface.

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Authors and Affiliations

  1. Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey. e-mail: hursit@rorqual.cc.metu.edu.tr, , , , , , TR

    Hurşit Önsiper

  2. Department of Mathematics, Bilkent University, Ankara, Turkey.¶e-mail: sertoz@fen.bilkent.edu.tr, , , , , , TR

    Sinan Sertöz

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  1. Hurşit Önsiper
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  2. Sinan Sertöz
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Received: 9 April 1998 / Revised version: 17 July 1998

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Önsiper, H., Sertöz, S. Generalized Shioda–Inose structures on K3 surfaces. manuscripta math. 98, 491–495 (1999). https://doi.org/10.1007/s002290050155

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  • DOI: https://doi.org/10.1007/s002290050155

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