59 citations · 253 across the 29 of their papers we have counts for
4 papers · 1 filter
Relative enumerative invariants of real nodal del Pezzo surfaces
Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin
The surfaces considered are real, rational and have a unique smooth real -curve. Their canonical class is strictly negative on any other irreducible curve in the surface…
Hurwitz numbers for real polynomials
Ilia Itenberg, Dimitri Zvonkine
We consider the problem of defining and computing real analogs of polynomial Hurwitz numbers, in other words, the problem of counting properly normalized real polynomials with fixe…
Tropical Homology
Ilia Itenberg, Ludmil Katzarkov, Grigory Mikhalkin +1
Given a tropical variety X and two non-negative integers p and q we define homology group . We show that if X is a smooth tropical variety that can be represented as th…
Lines on quartic surfaces
Alex Degtyarev, Ilia Itenberg, Ali Sinan Sertöz
We show that the maximal number of (real) lines in a (real) nonsingular spatial quartic surface is 64 (respectively, 56). We also give a complete projective classification of all q…