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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…