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of 27
pro vyhledávání: '"Tsakanikas, Nikolaos"'
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 stable under the operations of the Minimal Model Program (MMP). In partic
Externí odkaz:
http://arxiv.org/abs/2409.12054
For every $d \geq 4$, we construct a $d$-dimensional, log canonical, $K$-trivial variety with the property that two general fibers of its Albanese morphism are not birational. This provides a strong counterexample to the Beauville--Bogomolov decompos
Externí odkaz:
http://arxiv.org/abs/2407.17260
Autor:
Tsakanikas, Nikolaos, Xie, Zhixin
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 the adjoint divisor of an NQC log canonical generalized pair coincide. A
Externí odkaz:
http://arxiv.org/abs/2309.01031
Autor:
Tsakanikas, Nikolaos, Xie, Lingyao
Given an NQC log canonical generalized pair $(X,B+M)$ whose underlying variety $X$ is not necessarily $\mathbb{Q}$-factorial, we show that one may run a $(K_X+B+M)$-MMP with scaling of an ample divisor which terminates, provided that $(X,B+M)$ has a
Externí odkaz:
http://arxiv.org/abs/2301.09186
Publikováno v:
Doc. Math. 28 (2023), no. 6, 1393-1440
We prove that if $(X,\Delta)$ is a threefold pair with mild singularities such that ${-}(K_X+\Delta)$ is nef, then the numerical class of ${-}(K_X+\Delta)$ is effective.
Comment: v4: minor changes; to appear in Doc. Math
Comment: v4: minor changes; to appear in Doc. Math
Externí odkaz:
http://arxiv.org/abs/2202.13814
Publikováno v:
Selecta Math. New Ser. 28, 89 (2022)
We show that minimal models of $\mathbb{Q}$-factorial NQC log canonical generalised pairs exist, assuming the existence of minimal models of smooth varieties. More generally, we prove that on a $\mathbb{Q}$-factorial NQC log canonical generalised pai
Externí odkaz:
http://arxiv.org/abs/2108.00993
Autor:
Chen, Guodu, Tsakanikas, Nikolaos
Publikováno v:
Acta Math. Sin. (Engl. Ser.) 39 (2023), 967-994
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 NQC log canonical generalized pairs, and show that the termination of
Externí odkaz:
http://arxiv.org/abs/2011.02236
Publikováno v:
Asian J. Math. 27 (2023), no. 3, 423-440
We prove the special termination for log canonical pairs and its generalisation in the context of generalised pairs.
Comment: v2: minor changes; to appear in Asian J. Math
Comment: v2: minor changes; to appear in Asian J. Math
Externí odkaz:
http://arxiv.org/abs/2007.06458
Autor:
Lazić, Vladimir, Tsakanikas, Nikolaos
Publikováno v:
Publ. Res. Inst. Math. Sci. 58 (2022), no. 2, 311-339
We show that minimal models of log canonical pairs exist, assuming the existence of minimal models of smooth varieties.
Comment: v3: minor changes; title changed; to appear in Publ. Res. Inst. Math. Sci
Comment: v3: minor changes; title changed; to appear in Publ. Res. Inst. Math. Sci
Externí odkaz:
http://arxiv.org/abs/1905.05576
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