3 papers
math.AG2025
On the moduli space of stable surfaces with realizing the minimal volume
Valery Alexeev, Wenfei Liu, Matthias Schütt
Let be the moduli space of the KSBA stable surfaces of geometric genus realizing the minimal possible volume . We show that its reduced part…
math.AG2025
Augmentations, reduced ideal point gluings and compact type degenerations of curves
Valery Alexeev, Alexander Kuznetsov
In this note we demonstrate some unexpected properties that simple gluings of the simplest derived categories may have. We consider two special cases: the first is an augmented cur…
math.AG2025
On lattice-polarized K3 surfaces
Valery Alexeev, Philip Engel
We propose modifications to the commonly used definitions of lattice-polarized and lattice-quasipolarized smooth K3 surfaces, collecting various versions of the definition, and det…