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COMPACT MODULI OF ENRIQUES SURFACES OF DEGREE 2

Part of: Surfaces and higher-dimensional varieties Families, fibrations

Published online by Cambridge University Press:  26 February 2025

VALERY ALEXEEV Open the ORCID record for VALERY ALEXEEV [Opens in a new window] ,
PHILIP ENGEL Open the ORCID record for PHILIP ENGEL [Opens in a new window] ,
D. ZACK GARZA Open the ORCID record for D. ZACK GARZA [Opens in a new window]  and
LUCA SCHAFFLER Open the ORCID record for LUCA SCHAFFLER [Opens in a new window]
VALERY ALEXEEV*
Affiliation:
Department of Mathematics, University of Georgia Athens, GA 30602 United States
PHILIP ENGEL
Affiliation:
Department of Mathematics, Statistics, and Computer Science University of Illinois Chicago Chicago, IL 60607-7045 United States pengel@uic.edu
D. ZACK GARZA
Affiliation:
Department of Mathematics University of Georgia Athens, GA 30602 United States zack@uga.edu
LUCA SCHAFFLER
Affiliation:
Dipartimento di Matematica e Fisica Università degli Studi Roma Tre 00146 Roma Italy luca.schaffler@uniroma3.it
*
valery@math.uga.edu
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Abstract

We describe a geometric, stable pair compactification of the moduli space of Enriques surfaces with a numerical polarization of degree $2$, and identify it with a semitoroidal compactification of the period space.

Keywords

Enriques surfacemoduli spaceKSBA compactification

MSC classification

Primary: 14J28: $K3$ surfaces and Enriques surfaces 14D22: Fine and coarse moduli spaces
Type
Article
Information
Nagoya Mathematical Journal , First View , pp. 1 - 44
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal

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