42 citations · 81 across the 20 of their papers we have counts for
7 papers · 1 filter
MMP for smooth co-rank one foliations
Paolo Cascini, Calum Spicer
We prove the existence of minimal models for smooth co-rank one foliations of general type.
Class VII surfaces with and two foliations are Kato
Nikon Kurnosov, Calum Spicer
Let be a minimal compact complex surface of class VII with . We prove that if carries two distinct singular holomorphic foliations, then contains a global sph…
Foliated Minimal Models and Flops
Paolo Cascini, Roktim Mascharak, Calum Spicer
We study minimal models and flops for foliations. We show that if is a rank one foliation with canonical singularities on a normal projective -factorial var…
Nowhere-vanishing harmonic 1-forms on real loci of K3-fibred Calabi-Yau 3-folds
Shih-Kai Chiu, Daniel Platt, Calum Spicer
We develop an analytic construction of nowhere-vanishing harmonic -forms on real loci of K3-fibred Calabi-Yau -folds with collapsing Ricci-flat Kähler metrics. We apply our c…
Birational boundedness of stable families
Paolo Cascini, Jihao Liu, Calum Spicer +1
We prove that normal projective stable families of maximal variation, of fixed dimension, and with bounded adjoint volume are birationally bounded. This is a consequence of a subst…
Recent progress on the Minimal Model Program for foliations
Paolo Cascini, Calum Spicer
We survey recent progress on the birational geometry of foliations on complex varieties. We focus on the MMP viewpoint: singularities, adjunction and applications to the MMP for fo…
Rank one foliations on toroidal varieties
Calum Spicer, Luca Tasin
Consider a log canonical pair such that there is a Cartier divisor for which is locally free and globally generated. Let $\mathcal…