Periods of elliptic surfaces with $p_g=q=1$

Author:

Philip Engel, François Greer, Abigail Ward

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-08-07 16:00:00

Abstract

We prove that the period mapping is dominant for elliptic surfaces over an elliptic curve with 12 nodal fibers, and that its degree is larger than 1.