3 papers
math.AG2023
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…
math.AG2019
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…
math.AG2018
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…