5 papers · 1 filter
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 is a $10…
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…
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…
Compact moduli of Enriques surfaces with a numerical polarization of degree 2
Valery Alexeev, Philip Engel, D. Zack Garza +1
We describe a geometric, stable pair compactification of the moduli space of Enriques surfaces with a numerical polarization of degree 2, and identify it with a semitoroidal compac…
Explicit KSBA compactifications of moduli spaces of secondary and tertiary Burniat surfaces
Valery Alexeev, Xiaoyan Hu
We describe explicitly the geometric KSBA compactifications, obtained by adding slc surfaces~ with ample canonical class, of moduli spaces of Burniat surfaces of degrees …