Mathematics – Algebraic Geometry
Scientific paper
2002-10-24
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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