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pro vyhledávání: '"Hacon, Christopher D."'
Autor:
Birkar, Caucher, Hacon, Christopher D.
In this paper we investigate various properties of generalised pairs in families, especially boundedness of several kinds. We show that many statements for usual pairs do not hold for generalised pairs. In particular, we construct an unexpected count
Externí odkaz:
http://arxiv.org/abs/2204.10456
We show that elliptic Calabi--Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the rate of growth of pluricanonical forms and the degree of a multisectio
Externí odkaz:
http://arxiv.org/abs/2112.01352
Autor:
Hacon, Christopher D., Liu, Jihao
We prove the existence of flips for $\mathbb Q$-factorial NQC generalized lc pairs, and the cone and contraction theorems for NQC generalized lc pairs. This answers a question of C. Birkar which was conjectured by J. Han and Z. Li. As an immediate ap
Externí odkaz:
http://arxiv.org/abs/2105.13590
In this paper we prove a strengthening of the generic vanishing result in characteristic $p>0$ given in [HP16]. As a consequence of this result, we show that irreducible $\Theta$ divisors are strongly F-regular and we prove a related result for pluri
Externí odkaz:
http://arxiv.org/abs/2009.12041
Autor:
Hacon, Christopher D., Langer, Adrian
In this paper we prove a result on the effective generation of pluri-canonical linear systems on foliated surfaces of general type. Fix a function $P: \mathbb Z_{\geq 0}\to \mathbb Z $, then there exists an integer $N_1>0$ such that if $(X,\mathcal F
Externí odkaz:
http://arxiv.org/abs/1910.07709
Autor:
Hacon, Christopher D., Moraga, Joaquín
We prove that termination of lower dimensional flips for generalized klt pairs implies termination of flips for log canonical generalized pairs with a weak Zariski decomposition. Moreover, we prove that the existence of weak Zariski decompositions fo
Externí odkaz:
http://arxiv.org/abs/1805.01600
Autor:
Hacon, Christopher D., Han, Jingjun
Let $(X,\Delta)$ be a log pair over $S$, such that $-(K_X+\Delta)$ is nef over $S$. It is conjectured that the intersection of the non-klt (non Kawamata log terminal) locus of $(X,\Delta)$ with any fiber $X_s$ has at most two connected components. We
Externí odkaz:
http://arxiv.org/abs/1801.01801
Publikováno v:
Duke Math. J. 168, no. 9 (2019), 1723-1736
Let $k$ be an algebraically closed field of characteristic $p>0$. We give a birational characterization of ordinary abelian varieties over $k$: a smooth projective variety $X$ is birational to an ordinary abelian variety if and only if $\kappa_S(X)=0
Externí odkaz:
http://arxiv.org/abs/1703.06631
Akademický článek
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Autor:
Egbert, Andrew, Hacon, Christopher D.
Publikováno v:
Nagoya Math. J. 243 (2021) 1-10
We prove the deformation invariance of Kodaira dimension and of certain plurigenera for log surfaces which are smooth over a DVR.
Externí odkaz:
http://arxiv.org/abs/1609.08709