Extremal elliptic surfaces & Infinitesimal Torelli

Details Extremal elliptic surfaces & Infinitesimal Torelli Extremal elliptic surfaces & Infinitesimal Torelli

2002-10-24

arxiv.org/abs/math/0210386v3

Mathematics

Algebraic Geometry

16 pages; 3rd version; small changes to the third and fourth section

Scientific paper

We describe in terms of the j-invariant all elliptic surfaces pi: X -> C with
a section, such that h^{1,1}(X)=rank NS(X) and the Mordell-Weil group of pi is
finite.
We use this to give a complete solution to infinitesimal Torelli for elliptic
surfaces with a section over P^1.

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