5 papers
Deformations of primitive Enriques varieties
Francesco Antonio Denisi, Nikolaos Tsakanikas, Zhixin Xie
We develop the deformation theory of primitive Enriques varieties, which are defined as quasi-étale quotients of primitive symplectic varieties by nonsymplectic group actions. In p…
On the relative cone conjecture for families of IHS manifolds
Andreas Höring, Gianluca Pacienza, Zhixin Xie
We study the relative cone conjecture for families of -trivial varieties with vanishing irregularity. As an application we prove that the relative movable and the relative nef c…
MMP for Enriques pairs and singular Enriques varieties
Francesco Antonio Denisi, Ángel David Ríos Ortiz, Nikolaos Tsakanikas +1
We introduce and study the class of primitive Enriques varieties, whose smooth members are Enriques manifolds. We provide several examples and we demonstrate that this class is sta…
Rigid currents in birational geometry
Vladimir Lazić, Zhixin Xie
A rigid current on a compact complex manifold is a closed positive current whose cohomology class contains only one closed positive current. Rigid currents occur in complex dynamic…
Comparison and uniruledness of asymptotic base loci
Nikolaos Tsakanikas, Zhixin Xie
We prove that the asymptotic base loci of an NQC klt generalized pair with big canonical class are uniruled. We also show that the non-nef locus and the diminished base locus of th…