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

Published online by Cambridge University Press:  01 January 2009

Chad Schoen*
Affiliation:
Department of Mathematics, Duke University, Box 90320, Durham, NC 27708-0320, USA (email: schoen@math.duke.edu)
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Abstract

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Desingularized fiber products of semi-stable elliptic surfaces with Hetale3=0 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 arithmetic degenerations of rigid Calabi–Yau threefolds.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2009

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