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math.AG2021
Wall crossing for moduli of stable log pairs
Kenneth Ascher, Dori Bejleri, Giovanni Inchiostro +1
We prove, under suitable conditions, that there exist wall-crossing and reduction morphisms for moduli spaces of stable log pairs in all dimensions as one varies the coefficients o…
math.AG2021★ 2 cited
K-stability and birational models of moduli of quartic K3 surfaces
Kenneth Ascher, Kristin DeVleming, Yuchen Liu
We show that the K-moduli spaces of log Fano pairs where is a quartic surface interpolate between the GIT moduli space of quartic surfaces and the Baily-Bo…
math.AG2021★ 2 cited
Smoothability of relative stable maps to stacky curves
Kenneth Ascher, Dori Bejleri
Using log geometry, we study smoothability of genus zero twisted stable maps to stacky curves relative to a collection of marked points. One application is to smoothing semi-log ca…