14 citations · 53 across the 14 of their papers we have counts for
18 papers
On the rationality of some real threefolds
Olivier Benoist, Alena Pirutka
We study the rationality of some geometrically rational three-dimensional conic and quadric surface bundles, defined over the reals and more general real closed fields, for which t…
Uniform bounds for obstructions to the integral Tate conjecture
Anna Cadoret, Alena Pirutka
Assuming natural variational realization conjectures, we give uniform bounds for the obstruction to the integral Tate conjecture in 1-dimensional families of algebraic varieties ov…
Computing the equivariant Brauer group
Alena Pirutka, Zhijia Zhang
Let X be a smooth projective rational variety carrying a regular action of a finite abelian group G. We give examples of effective computation of the Brauer group of the quotient s…
Cubic surface bundles and the Brauer group
Alena Pirutka
In this note we define a subgroup of unramified cohomology group of a fibration . This subgroup can be used efficiently in refined specialization…
Local-global principles for curves over semi-global fields
David Harbater, Daniel Krashen, Alena Pirutka
We investigate local-global principles for Galois cohomology, in the context of function fields of curves over semi-global fields. This extends work of Kato's on the case of functi…
On stable cohomology of central extensions of elementary abelian groups
Fedor Bogomolov, Christian Böhning, Alena Pirutka
We study when kernels of inflation maps associated to extraspecial p-groups in stable group cohomology are generated by their degree two components. This turns out to be true if th…