47 citations · 382 across the 40 of their papers we have counts for
48 papers
Two proofs of the Cassels--Swinnerton-Dyer conjecture for cubic surfaces
Valery Alexeev, Stefan Schreieder
The Cassels--Swinnerton-Dyer conjecture asserts that a cubic hypersurface contains a rational point if and only if it contains a point of degree coprime to , or, equivalently, a…
Reflective hyperbolic 2-elementary lattices, K3 surfaces and hyperkahler varieties
Valery Alexeev
We compute Coxeter diagrams of several ``large'' reflective even 2-elementary hyperbolic lattices and their maximal parabolic subdiagrams, and give some applications of these resul…
Compactifications of moduli spaces of K3 surfaces with a nonsymplectic involution
Valery Alexeev, Philip Engel
There are moduli spaces of K3 surfaces with a nonsymplectic involution. We give detailed descriptions of Kulikov models for one-parameter degenerations in . In the…
Root systems and hyperkahler varieties
Valery Alexeev
We point out a connection between root systems and some of the known hyperkähler varieties.
Compact moduli of K3 surfaces with a nonsymplectic automorphism
Valery Alexeev, Philip Engel, Changho Han
We construct a modular compactification via stable slc pairs for the moduli spaces of K3 surfaces with a nonsymplectic group of automorphisms under the assumption that some combina…
The flex divisor of a K3 surface
Valery Alexeev, Philip Engel
The flex divisor of a primitively polarized K3 surface of degree is, generically, the locus of all points for which there exists a pencil w…