6 citations · 21 across the 24 of their papers we have counts for
28 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 condition for regula…
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…
Exceptional collections and phantoms of special Dolgachev surfaces
Ilya Karzhemanov, Ludmil Katzarkov
We provide an explicit description of exceptional collection of maximal length in the derived category for a particular class of elliptic surfaces . The existence of no…
One numerical obstruction for rational maps between hypersurfaces
Ilya Karzhemanov
Given a rational dominant map between two generic hypersurfaces of dimension , we prove (under an addition assumption on…
Rationality of quotients by finite Heisenberg groups
Stanislav Grishin, Ilya Karzhemanov, with an Appendix by Ming-chang Kang
We prove rationality of the quotient for the finite Heisenberg group , any , acting on via its irreducible representation.