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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★ 1 cited
Degenerations of Gushel-Mukai fourfolds, with a view towards irrationality proofs
Christian Böhning, Hans-Christian Graf von Bothmer
We study a certain class of degenerations of Gushel-Mukai fourfolds as conic bundles, which we call tame degenerations and which are natural if one wants to prove that very general…