1 citations · 1 across the 3 of their papers we have counts for
4 papers
Conics on smooth quartic surfaces
Alex Degtyarev
We prove that the maximal number of conics, a priori irreducible of reducible, on a smooth spatial quartic surface is 800, realized by a unique quartic. We also classify quartics w…
Real plane sextics without real points
Alex Degtyarev, Ilia Itenberg
We prove that the equisingular deformation type of a simple real plane sextic curve with smooth real part is determined by its real homological type, \ie, the polarization, excepti…
Tritangents to smooth sextic curves
Alex Degtyarev
We prove that a smooth plane sextic curve can have at most 72 tritangents, whereas a smooth real sextic may have at most 66 real tritangents.
On total reality of meromorphic functions
A. Degtyarev, T. Ekedahl, I. Itenberg +2
We show that if a meromorphic function of degree at most four on a real algebraic curve of an arbitrary genus has only real critical points then it is conjugate to a real meromorph…