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Compact moduli of
elliptic K3 surfaces
Kenneth Ascher and Dori Bejleri |
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Geometry & Topology 27 (2023) 1891–1946
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Abstract |
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We construct various modular compactifications of the space of elliptic K3 surfaces using tools from the minimal model program, and explicitly describe the surfaces parametrized by their boundaries. The coarse spaces of our constructed compactifications admit morphisms to the Satake–Baily–Borel compactification and the GIT compactification of Miranda. |
Keywords
moduli spaces, elliptic surfaces, K3 surfaces, KSBA, stable
pairs, twisted stable maps
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Mathematical Subject Classification
Primary: 14J10, 14J27, 14J28
Secondary: 14D20
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References |
Publication
Received: 8 October 2020
Revised: 11 November 2021
Accepted: 17 December 2021
Published: 27 July 2023
Proposed: Mark Gross
Seconded: Jim Bryan, Simon Donaldson
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Authors |
| Kenneth Ascher | |
| Department of Mathematics University of California, Irvine Irvine, CA United States |
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| Dori Bejleri | |
| Mathematics Department Harvard University Cambridge, MA United States |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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