19 citations · 61 across the 10 of their papers we have counts for
10 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…
Remarks on the existence of minimal models of log canonical generalized pairs
Nikolaos Tsakanikas, Lingyao Xie
Given an NQC log canonical generalized pair whose underlying variety is not necessarily -factorial, we show that one may run a -MMP with scalin…
The Nonvanishing problem for varieties with nef anticanonical bundle
Vladimir Lazić, Shin-ichi Matsumura, Thomas Peternell +2
We prove that if is a threefold pair with mild singularities such that is nef, then the numerical class of is effective.
Special MMP for log canonical generalised pairs
Vladimir Lazić, Nikolaos Tsakanikas, with an appendix joint with Xiaowei Jiang
We show that minimal models of -factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we pr…
On the termination of flips for log canonical generalized pairs
Guodu Chen, Nikolaos Tsakanikas
We prove the termination of flips for 4-dimensional pseudo-effective NQC log canonical generalized pairs. As main ingredients, we verify the termination of flips for 3-dimensional…
Special termination for log canonical pairs
Vladimir Lazić, Joaquín Moraga, Nikolaos Tsakanikas
We prove the special termination for log canonical pairs and its generalisation in the context of generalised pairs.
On the existence of minimal models for log canonical pairs
Vladimir Lazić, Nikolaos Tsakanikas
We show that minimal models of log canonical pairs exist, assuming the existence of minimal models of smooth varieties.