4 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…
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…
A strong counterexample to the log canonical Beauville--Bogomolov decomposition
Fabio Bernasconi, Stefano Filipazzi, Zsolt Patakfalvi +1
For every , we construct a -dimensional, log canonical, -trivial variety with the property that two general fibers of its Albanese morphism are not birational. This…
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…