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Rationality of complete intersections of two quadrics

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arxiv 1903.08979 v2 pith:I5WF7S6H submitted 2019-03-21 math.AG

Brendan Hassett , Yuri Tschinkel This is my paper · ORCID
classification math.AG
keywords rationalitycompleteintersectionsquadricscasefieldfocusgeometrically
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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.

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Cited by 1 Pith paper

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  1. Cycle class maps and birational invariants

    math.AG 2019-08 conditional novelty 7.0 of 10

    A new invariant from cycle maps on curves shows that a smooth threefold intersection of two quadrics over a subfield of C is rational if and only if it contains a line over that field.

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