20 citations · 38 across the 15 of their papers we have counts for
16 papers
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…
Hassett--Keel Program in genus four
Kenneth Ascher, Kristin DeVleming, Yuchen Liu +1
The Hassett--Keel program seeks to give a modular interpretation to the steps of the log minimal model program of . The goal of this paper is to complete…
The K-moduli space of a family of conic bundle threefolds
Kristin DeVleming, Lena Ji, Patrick Kennedy-Hunt +1
We describe the 6-dimensional compact K-moduli space of Fano threefolds in deformation family No 2.18. These Fano threefolds are double covers of bra…
Rational unicuspidal plane curves of low degree
Kristin DeVleming, Nikita Singh
We completely classify all plane curves of degree at most 30 with a unique cuspidal (locally unibranch) singular point and rational normalization in terms of the Newton pairs param…
Moduli of boundary polarized Calabi-Yau pairs
Kenneth Ascher, Dori Bejleri, Harold Blum +4
We develop the moduli theory of boundary polarized CY pairs, which are slc Calabi-Yau pairs such that is ample. The motivation for studying this moduli problem is to co…
Smooth limits of plane curves of prime degree and Markov numbers
Kristin DeVleming, David Stapleton
For prime degree hypersurfaces of dimension at least 3, Mori asked if every smooth proper limit is still a hypersurface. Interestingly in dimensions 1 and 2, this is not the case.…
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…
K-moduli of curves on a quadric surface and K3 surfaces
Kenneth Ascher, Kristin DeVleming, Yuchen Liu
We show that the K-moduli spaces of log Fano pairs where is a -curve and their wall crossings coincide with the VGIT quotients of…
Maximal Chow constant and cohomologically constant fibrations
Kristin DeVleming, David Stapleton
Motivated by the study of rationally connected fibrations (and the MRC quotient) we study different notions of birationally simple fibrations. We say a fibration of smooth projecti…
Wall crossing for K-moduli spaces of plane curves
Kenneth Ascher, Kristin DeVleming, Yuchen Liu
We construct proper good moduli spaces parametrizing K-polystable -Gorenstein smoothable log Fano pairs , where is a Fano variety and is a rational mul…
Moduli of surfaces in
Kristin DeVleming
The goal of this paper is to construct a compactification of the moduli space of degree surfaces in , i.e. a parameter space whose interior points correspon…
Hyperbolicity and uniformity of varieties of log general type
Kenneth Ascher, Kristin DeVleming, Amos Turchet
Projective varieties with ample cotangent bundle satisfy many notions of hyperbolicity, and one goal of this paper is to discuss generalizations to quasi-projective varieties. A ma…