33 citations · 201 across the 29 of their papers we have counts for
4 papers · 1 filter
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…
Failure of the local-global principle for isotropy of quadratic forms over function fields
Asher Auel, V. Suresh
We prove the failure of the local-global principle, with respect to discrete valuations, for isotropy of quadratic forms over function fields of transcendence degree at least 2 ove…
Period-index bounds for arithmetic threefolds
Benjamin Antieau, Asher Auel, Colin Ingalls +2
The standard period-index conjecture for the Brauer group of a field of transcendence degree 2 over a -adic field predicts that the index divides the cube of the period. Using G…
Some non-special cubic fourfolds
Nicolas Addington, Asher Auel
In [1309.1899], Ranestad and Voisin showed, quite surprisingly, that the divisor in the moduli space of cubic fourfolds consisting of cubics "apolar to a Veronese surface" is not a…