Open Access
August 2018 Connected Components of the Moduli of Elliptic K3 Surfaces
Ichiro Shimada
Michigan Math. J. 67(3): 511-559 (August 2018). DOI: 10.1307/mmj/1528941621


The combinatorial type of an elliptic K3 surface with a zero section is the pair of the ADE-type of the singular fibers and the torsion part of the Mordell–Weil group. We determine the set of connected components of the moduli of elliptic K3 surfaces with fixed combinatorial type. Our method relies on the theory of Miranda and Morrison on the structure of a genus of even indefinite lattices and on computer-aided calculations of p-adic quadratic forms.


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Ichiro Shimada. "Connected Components of the Moduli of Elliptic K3 Surfaces." Michigan Math. J. 67 (3) 511 - 559, August 2018.


Received: 17 October 2016; Revised: 19 August 2017; Published: August 2018
First available in Project Euclid: 14 June 2018

zbMATH: 06969983
MathSciNet: MR3835563
Digital Object Identifier: 10.1307/mmj/1528941621

Primary: 11E81 , 14J28

Rights: Copyright © 2018 The University of Michigan

Vol.67 • No. 3 • August 2018
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