1 citations · 1 across the 4 of their papers we have counts for
7 papers
Coregularity of smooth Fano threefolds
Artem Avilov, Konstantin Loginov, Victor Przyjalkowski
We study the coregularity of smooth Fano threefolds. We prove that for 100 out of 105 families of smooth Fano threefolds, a general member in the family has coregularity 0; moreove…
Birational rigidity of -del Pezzo threefolds of degree 2
A. Avilov
In this paper we classify nodal rational non--factorial del Pezzo threefolds of degree 2 which can be -birationally rigid for some subgroup $G\subset \operatorname{A…
On forms of the Segre cubic
Artem Avilov
In this article we study forms of the Segre cubic over non-algebraically closed fields, their automorphism groups and equivariant birational rigidity. In particular, we show that a…
Automorphisms of threefolds that can be represented as an intersection of two quadrics
Artem Avilov
In this paper we classify all potentially G-birationally rigid del Pezzo threefolds of degree 4 and their automorphism groups and prove the G-birational rigidity of one of them
Biregular and birational geometry of quartic double solids with 15 nodes
Artem Avilov
Three-dimensional del Pezzo varieties of degree 2 are double covers of projective space branced in a quadric. In this paper we prove that if a del Pezzo variety of…
Automorphisms of singular three-dimensional cubic hypersurfaces
Artem Avilov
In this paper we classify three-dimensional singular cubic hypersurfaces with an action of a finite group , which are not -rational, are not -birationally isomorphic to a…
On standard models of conic fibrations over a field of characteristic zero
Artem Avilov
In 1982 V.G. Sarkisov proved the existense of standard models of conic fibrations over algebraically closed fields of . In this paper we will prove the a…