paper

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

arXiv:0804.1078 · doi:10.1112/S0010437X08003801

Abstract

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.

23 pages

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