4 papers · 1 filter
Hasse Obstructions to Rationality for Special Fourfolds
Aideen Fay
For every nonempty Hassett divisor parameterizing special cubic fourfolds, we consider the quaternion class in the two-torsion Brauer group. We prove…
An atomic criterion for irrationality without quantum computations
Vladimiro Benedetti, Aideen Fay, Jérémy Guéré +2
The birational invariants introduced by Katzarkov-Kontsevich-Pantev-Yu allows one to obtain irrationality results for varieties whose quantum cohomology is well-behaved. We observe…
The Very General Verra Fourfold is Irrational
Aideen Fay
We show that the very general Verra fourfold is irrational, using the Hodge atom framework of Katzarkov--Kontsevich--Pantev--Yu. Two novel points are: a refined analysis of Hodge a…
Equivariant irrationality of very general symmetric Verra fourfolds
Aideen Fay
We prove that a very general complex symmetric Verra fourfold is not \(\ZZ/2\)-birational to \(\PP^4\), using the \emph{theory of atoms} introduced by Katzarkov--Kontsevich--Pantev…