The theorem of Maehara-Severi for maps of general type

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Finn Bartsch, Ariyan Javanpeykar, Erwan Rousseau
DOI: 10.48550/arxiv.2602.02314
Cited by: 0

Abstract

We prove a finiteness result for dominant rational maps whose orbifold base is of general type. Our finiteness result generalizes Maehara's theorem that a given variety dominates only finitely many projective varieties of general type up to birational equivalence, and also answers a question of Campana on the finiteness of Bogomolov sheaves. We give several further applications, including finiteness results for maps to curves, abelian varieties, and K3 surfaces.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometry and complex manifolds Advanced Algebra and Geometry

Publication details

Journal / source
arXiv (Cornell University)
Publication date
2 February 2026
Language
EN
Document type
Preprint