6 citations · 14 across the 12 of their papers we have counts for
13 papers
A weak criterion of bigness for toric vector bundles
Evgeny Mayanskiy
We prove a weak version of a bigness criterion for equivariant vector bundles on toric varieties.
Rational points on non-normal hypercubics
Evgeny Mayanskiy
We show that the count of rational points by de la Bretèche, Browning and Salberger on the Cayley ruled cubic surface extends to all non-normal integral hypercubics which are not c…
Subregular subalgebras and invariant generalized complex structures on Lie groups
Evgeny Mayanskiy
We introduce the notion of a subregular subalgebra, which we believe is useful for classification of subalgebras of Lie algebras. We use it to construct a non-regular invariant gen…
The subalgebras of G2
Evgeny Mayanskiy
We classify subalgebras of the complex simple Lie algebra of type G2 up to conjugacy (by an inner automorphism).
Weighted complete intersection del Pezzo surfaces
Evgeny Mayanskiy
We classify codimension 2 well-formed and quasi-smooth weighted complete intersection del Pezzo surfaces.
ACC for minimal lengths of extremal rays for surfaces
Evgeny Mayanskiy
We prove that the lengths of extremal rays of log canonical Fano surfaces with Picard number one satisfy the ascending chain condition. This confirms the 2-dimensional case of a co…
Abelian automorphism groups of cubic fourfolds
Evgeny Mayanskiy
We list all finite abelian groups which act effectively on smooth cubic fourfolds.
Poisson cohomology of two Fano threefolds
Evgeny Mayanskiy
We study the variety of Poisson structures and compute Poisson cohomology for two families of Fano threefolds - smooth cubic threefolds and the del Pezzo quintic threefold. Along t…
Endomorphism algebras of Kuga-Satake varieties
Evgeny Mayanskiy
We compute endomorphism algebras of Kuga-Satake varieties associated to K3 surfaces.
Hermitian forms of K3 type
Evgeny Mayanskiy
We classify quadratic spaces over endomorphism fields of K3 surfaces. We consider both totally real and CM cases.
Tetrahedral quartics in Projective Space
Evgeny Mayanskiy
We study tetrahedral quartics in projective space. We address their projective geometry, Neron-Severi lattice and automorphism group.
Intersection lattices of cubic fourfolds
Evgeny Mayanskiy
We study the lattices of algebraic and transcendental cycles of cubic fourfolds.
Chow groups of moduli spaces of rank 2 vector bundles on curves with determinant of odd degree
Evgeny Mayanskiy
We compute Chow groups of moduli spaces of rank 2 vector bundles on curves with determinant of odd degree in terms of generators and relations.