Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number

Details Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number

2008-04-07

arxiv.org/abs/0804.1078v1

Compositio Mathematica, vol. 145 (2009), pp. 89-111

Mathematics

Algebraic Geometry

23 pages

Scientific paper

Desingularized fiber products of semi-stable, non-isotrivial jacobian
elliptic surfaces with vanishing third Betti number are classified. Such
varieties may play a role in the study of supersingular threefolds, of the
deformation theory of varieties with trivial canonical bundle, and of the
arithmetic degenerations of rigid Calabi-Yau threefolds.

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