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December 2012 Isomorphism among Families of Weighted $K3$ Hypersurfaces
Masanori KOBAYASHI, Makiko MASE
Tokyo J. Math. 35(2): 461-467 (December 2012). DOI: 10.3836/tjm/1358951330

Abstract

It is known that there are exactly 95 weighted projective spaces having Gorenstein $K3$ surfaces as anticanonical divisors, some of which have isometric Picard lattices for generic members. For each set of such families, an explicit birational correspondence coming from a torus action is constructed in this paper. As a result the number of `essentially different' families of weighted Gorenstein $K3$ surfaces is 75.

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Masanori KOBAYASHI. Makiko MASE. "Isomorphism among Families of Weighted $K3$ Hypersurfaces." Tokyo J. Math. 35 (2) 461 - 467, December 2012. https://doi.org/10.3836/tjm/1358951330

Information

Published: December 2012
First available in Project Euclid: 23 January 2013

zbMATH: 1262.14046
MathSciNet: MR3058718
Digital Object Identifier: 10.3836/tjm/1358951330

Subjects:
Primary: 14J28
Secondary: 14J10, 14J17

Rights: Copyright © 2012 Publication Committee for the Tokyo Journal of Mathematics

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Vol.35 • No. 2 • December 2012
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