Work

On the finiteness of maps into simple abelian varieties satisfying certain tangency conditions

Year: 2025

Type: article

Abstract: We show that given a simple abelian variety and a normal variety defined over a finitely generated field of characteristic zero, the set of non‐constant morphisms satisfying certain tangency conditions imposed by a Campana orbifold divisor on is finite. To do so, we study the geometry of the scheme parameterizing such morphisms from a smooth curve and show that it admits a quasi‐finite non‐dominant morphism to .

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70119

Author: Finn Bartsch

Institution: Radboud University Nijmegen

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

OpenAlex ID: W4411281586

FWCI:

Cites: 13

Cited by:

Related to: 10