6 citations · 11 across the 7 of their papers we have counts for
7 papers
Composition of Sarkisov links between del Pezzo surfaces
Anastasia V. Vikulova
We prove that for any two birationally equivalent del Pezzo surfaces of Picard rank one over a perfect field there is a birational map between them such that it is decomposed in a…
The largest automorphism group of del Pezzo surface of degree without points
Anastasia V. Vikulova
We construct an example of a field and a smooth del Pezzo surface of degree over this field without points such that its automorphism group is isomorphic to $\mathrm{PSL}_2(\ma…
The most symmetric smooth cubic surface
Anastasia V. Vikulova
In this paper for any field of characteristic different from 2 we find the largest automorphism group of a smooth cubic surface over this field. Moreover, we prove that for a given…
An elementary description of nef cone for irreducible holomorphic symplectic manifolds
Anastasia V. Vikulova
We describe MBM classes for irreducible holomorphic symplectic manifolds of K3 and Kummer types. These classes are the monodromy images of extremal rational curves which give the f…
The most symmetric smooth cubic surface over a finite field of characteristic
Anastasia V. Vikulova
In this paper we find the largest automorphism group of a smooth cubic surface over any finite field of characteristic We prove that if the order of the field is a power of $4…
Smooth -Fano weighted complete intersections
Anastasia V. Vikulova
In this paper we prove that for -dimensional smooth -Fano well-formed weighted complete intersections that are not isomorphic to a usual projective space, the upper bound for…
Parallel coordinates in three dimensions and sharp spectral isoperimetric inequalities
Anastasia V. Vikulova
In this paper we show how the method of parallel coordinates can be extended to three dimensions. As an application, we prove the conjecture of Antunes, Freitas and Krejčiřík \cite…