Vol. 11, No. 9, 2017

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Rationality does not specialize among terminal fourfolds

Alexander Perry

Vol. 11 (2017), No. 9, 2193–2196
Abstract

We show that rationality does not specialize in flat projective families of complex fourfolds with terminal singularities. This answers a question of Totaro, who established the corresponding result in dimensions greater than 4.

Keywords
rationality, specialization, fourfold, terminal singularities
Mathematical Subject Classification 2010
Primary: 14E08
Milestones
Received: 11 January 2017
Revised: 7 July 2017
Accepted: 28 September 2017
Published: 2 December 2017
Authors
Alexander Perry
Department of Mathematics
Columbia University
New York, NY
United States