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arXiv · 2007.10207

Infinitesimal Torelli for elliptic surfaces revisited

Remke Kloosterman
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Abstract

In this article we give a new proof for the infinitesimal Torelli theorem for minimal elliptic surfaces without multiple fibers with Euler number at least 24 for nonconstant $j$-invariant. In the case of constant $j$-invariant we find a new proof in the case of Euler number at least 72. We also discuss several new counterexamples.

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Remke Kloosterman. 2020-07-20. Infinitesimal Torelli for elliptic surfaces revisited. https://doi.org/10.1016/j.jpaa.2021.106925

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