3 citations · 3 across the 2 of their papers we have counts for
5 papers
On the dynamical degree of surjective endomorphisms
Ilya Karzhemanov
We establish a couple of dynamical properties of surjective rational maps for smooth projective surfaces . We also give a numerical characterization of…
On characterization of toric varieties
Ilya Karzhemanov
We study the conjecture due to V.\,V. Shokurov on characterization of toric varieties. We also consider one generalization of this conjecture. It is shown that none of the characte…
Rational maps and surfaces
Ilya Karzhemanov, Grisha Konovalov
We prove that generic complex projective surface does not admit a dominant rational map , which is not an isomorphism, from a surface with trivi…
Computations and ML for surjective rational maps
Ilya Karzhemanov
The present note studies \emph{surjective rational endomorphisms} with \emph{cubic} terms and the indeterminacy locus $I_f \ne \empty…
Surjective rational maps and del Pezzo surfaces
Ilya Karzhemanov, Anna Lekontseva
We study surjective (not necessarily regular) rational endomorphisms of smooth del Pezzo surfaces . We prove that under certain natural non\,-\,degeneracy condition can…