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math.AG2017★ 14 cited
Stable rationality of quadric and cubic surface bundle fourfolds
Asher Auel, Christian Böhning, Alena Pirutka
We study the stable rationality problem for quadric and cubic surface bundles over surfaces from the point of view of the degeneration method for the Chow group of 0-cycles. Our ma…
math.AG2017★ 5 cited
Intersections of three quadrics in
Brendan Hassett, Alena Pirutka, Yuri Tschinkel
We study rationality properties of smooth complete intersections of three quadrics in . We exhibit a smooth family of such intersections with both rational and non-ra…