1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.AG2026★ 1 cited
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…
math.AG2024
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…
math.AG2024
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…