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

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 $1$ . This settles the final case of infinitesimal Torelli for a generic elliptic surface.

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Bibliographic Details
Main Authors: Philip Engel, François Greer, Abigail Ward
Format: Article
Language:English
Published: Cambridge University Press 2024-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509424000859/type/journal_article
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