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

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.

arXiv comment20 pages, 4 figures

References in corpus (2)

• Compactifications of moduli of elliptic K3 surfaces: stable pair and toroidal
• Generic Torelli and local Schottky theorems for Jacobian elliptic surfaces