1 citations · 1 across the 6 of their papers we have counts for
6 papers
Basic properties of kappa classes
Valery Alexeev
We define kappa classes on KSBA moduli stacks as classes in operational Chow cohomology. They generalize the Miller-Morita-Mumford classes on the moduli spaces of curves. We prove…
A tower of complete moduli spaces of Calabi-Yau -folds
Valery Alexeev
We construct a sequence of complete moduli spaces each of which is isomorphic to a weighted projective space. These…
Compactifications of moduli spaces of K3 surfaces with a higher-order nonsymplectic automorphism
Valery Alexeev, Anand Deopurkar, Changho Han
We describe Baily-Borel, toroidal, and geometric -- using the KSBA stable pairs -- compactifications of some moduli spaces of K3 surfaces with a nonsymplectic automorphism of order…
Non-toric brane webs, Calabi-Yau 3-folds, and 5d SCFTs
Valery Alexeev, Hülya Argüz, Pierrick Bousseau
We study webs of 5-branes with 7-branes in Type IIB string theory from a geometric perspective. Mathematically, a web of 5-branes with 7-branes is a tropical curve in $\mathbb{R}^2…
The KSBA moduli space of stable log Calabi-Yau surfaces
Valery Alexeev, Hülya Argüz, Pierrick Bousseau
We prove that every irreducible component of the coarse Kollár-Shepherd-Barron and Alexeev (KSBA) moduli space of stable log Calabi--Yau surfaces admits a finite cover by a project…
Kappa classes on KSBA spaces
Valery Alexeev
We define kappa classes on moduli spaces of KSBA stable varieties and pairs, generalizing the Miller-Morita-Mumford classes on moduli of curves, and compute them in some cases wher…