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Lattice duality for families of K3 surfaces associated to transpose duality

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Abstract

The aim of this article is to show that the transpose-dual pairs in the sense of Ebeling–Ploog of singularities \((Z_{1,0},\, Z_{1,0})\), \((U_{1,0},\, U_{1,0})\), \((Q_{17},\, Z_{2,0})\), \((W_{1,0},\, W_{1,0})\) that are concluded to be polytope-dual by the author are actually lattice-dual.

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Authors and Affiliations

  1. Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji-shi, Tokyo, 192-0397, Japan

    Makiko Mase

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  1. Makiko Mase
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Correspondence to Makiko Mase.

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Mase, M. Lattice duality for families of K3 surfaces associated to transpose duality. manuscripta math. 155, 61–76 (2018). https://doi.org/10.1007/s00229-017-0936-5

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  • DOI: https://doi.org/10.1007/s00229-017-0936-5

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