Rationality of complete intersections of two quadrics

Abstract

We study rationality problems for smooth complete intersections of two quadrics. We focus on the three-dimensional case, with a view toward understanding the invariants governing the rationality of a geometrically rational threefold over a non-closed field.

arXiv comment41 pages, with new material on the real case and an appendix by Jean-Louis Colliot-Thélène

References in corpus (6)

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• The Clemens-Griffiths method over non-closed fields
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Cited by in corpus (3)

• Intermediate Jacobians and rationality over arbitrary fields
• Cycle class maps and birational invariants
• Equivariant geometry of odd-dimensional complete intersections of two quadrics