54 citations · 159 across the 14 of their papers we have counts for
15 papers
On endomorphisms of affine spaces and the Jacobian problem
Alexander Borisov, Ofer Gabber, Adrian Vasiu
Let be a prime. We provide examples which show that étale endomorphisms of affine planes over an algebraically closed field of characteristic can have fibers of arbitra…
Infinite transitivity of tame groups of automorphisms of affine spaces
Alexander Borisov, Ofer Gabber, Adrian Vasiu
For positive integers and , we study the actions of the groups of tame automorphisms of the -dimensional affine spaces over finite fields on ordered subsets of points…
Bounding crystalline torsion from étale torsion
Ofer Gabber, Shizhang Li
In this note, we prove that given a smooth proper family over a -adic ring of integers, one gets a control of its crystalline torsion in terms of its étale torsion, the cohomolo…
Cohomological flatness over discrete valuation rings: numerical and logarithmic criteria
Ofer Gabber, Rémi Lodh
We give sufficient conditions for cohomological flatness (in dimension 0) over discrete valuation rings, generalizing classical results of Raynaud in two different ways. The first…
Algebraization Techniques and Rigid-Analytic Artin-Grothendieck Vanishing
Ofer Gabber, Bogdan Zavyalov
First, we prove an algebraization result for rig-smooth algebras over a general noetherian ring; this positively answers the question raised in [Sta24, Tag 0GAX]. Then we prove a g…
A short proof of Timashev's theorem on the real component group of a real reductive group
Mikhail Borovoi, Ofer Gabber
Using results of Cartan, Matsumoto, and Casselman, we give a short proof of Timashev's theorem computing the real component group π_0 G(R) of a connected reductive real algebraic g…