20 citations · 38 across the 15 of their papers we have counts for
5 papers · 2 filters
K-stability of complete intersections
Livia Campo, Kristin DeVleming, Tiago Duarte Guerreiro
We prove the K-polystability of the general Fano complete intersection of arbitrary multidegree and dimension, and the K-stability of the general Fano complete intersection that is…
Weighted projective degenerations of
Kristin DeVleming, Jennifer Li, Sebastián Torres
We study weighted projective klt -Gorenstein degenerations of projective space and construct infinitely many new degenerations of projective space in a…
Deformations of fibered Calabi--Yau varieties
Benjamin Bakker, Kristin DeVleming, Stefano Filipazzi +5
Kollár showed that small deformations of elliptically fibered smooth -torsion varieties with remain elliptically fibered. We extend this result to any f…
On moduli of Fano varieties: an introduction to K-stability and K-moduli
Kristin DeVleming
This survey article is an accompaniment to the 2025 Summer Research Institute in Algebraic Geometry Bootcamp on K-stability and K-moduli. It is aimed at graduate students and inten…
A guide to wall crossing for moduli of varieties
Kristin DeVleming
There have been major developments in the theory of moduli of varieties in the past decade, essentially settling the construction of moduli spaces of log canonically polarized slc…