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Evgeny Mayanskiy

Publications and source records attributed to Evgeny Mayanskiy.

13 recordsLinked to original sources
arXiv2017

Rational points on non-normal hypercubics

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 cones.

math.AG↗
arXiv2017

Subregular subalgebras and invariant generalized complex structures on Lie groups

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 generalized complex structure on a Lie group. As an illustration of the study of invariant generalized complex structures, we compute them all for the real forms of G2.

math.AG↗
arXiv2016

The subalgebras of G2

We classify subalgebras of the complex simple Lie algebra of type G2 up to conjugacy (by an inner automorphism).

math.AG↗
arXiv2014

ACC for minimal lengths of extremal rays for surfaces

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 conjecture stated by Fujino and Ishitsuka

math.AG↗
arXiv2013

Poisson cohomology of two Fano threefolds

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 the way we reobtain by a different method earlier results of Loray, Pereira and Touzet in the special case we are considering.

math.AG↗
arXiv2012

Hermitian forms of K3 type

We classify quadratic spaces over endomorphism fields of K3 surfaces. We consider both totally real and CM cases.

math.AG↗