Moduli of elliptic surfaces of Kodaira dimension one fibered over rational curves

Advances in Mathematics 2026 Open access

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Authors: Dori Bejleri, Josiah Foster, Andres Fernandez Herrero, Giovanni Inchiostro, Svetlana Makarova, Junyan Zhao
DOI: 10.1016/j.aim.2026.110942
Cited by: 0

Abstract

In this article, we construct an infinite sequence of irreducible components of Kollár--Shepherd-Barron (KSB-) moduli spaces of surfaces of arbitrarily large volumes, and describe the boundary of each component completely. Moreover, we describe the stable reduction steps in finding the KSB-limits in an explicit combinatorial way. Our main approach is to study the moduli spaces of elliptic surfaces with Kodaira dimension one, fibered over rational curves, using the techniques of wall-crossing for KSBA moduli and twisted stable maps.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Commutative Algebra and Its Applications

Publication details

Journal / source
Advances in Mathematics
Volume
494
Pages
110942–110942
Publication date
8 April 2026
Language
EN