35 citations · 115 across the 21 of their papers we have counts for
11 papers · 1 filter
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…
Frameworks for two-dimensional Keller maps
Alexander Borisov
A Keller map is a counterexample to the Jacobian Conjecture. In dimension two every such map, if exists, leads to a complicated set of conditions on the map between the Picard grou…
On the Log Discrepancies in Toric Mori Contractions
Valery Alexeev, Alexander Borisov
It was conjectured by McKernan and Shokurov that for all Mori contractions from X to Y of given dimensions, for any positive epsilon there is a positive delta, such that if X is ep…
On Resolution of Compactifications of Unramified Planar Self-maps
Alexander Borisov
We use the techniques of birational algebraic geometry and some combinatorial arguments related to weighted trees to study the structure of resolutions of compactifications of hypo…
On empty lattice simplices in dimension 4
Margherita Barile, Dominique Bernardi, Alexander Borisov +1
We give an almost complete classification of empty lattice simplices in dimension 4 using the conjectural results of Mori-Morrison-Morrison, later proved by Sankaran and Bober. In…