Zobrazeno 1 - 10
of 239
pro vyhledávání: '"Hacon, Christopher"'
Autor:
Hacon, Christopher, Paun, Mihai
In this article we prove analogs of Kawamata's canonical bundle formula, Kawamata subadjunction and plt/lc inversion of adjunction for generalized pairs on Kaehler varieties. We also show that a conjecture of BDPPin dimension n-1 implies that the con
Externí odkaz:
http://arxiv.org/abs/2404.12007
Autor:
Das, Omprokash, Hacon, Christopher
In this article we prove the existence of pl-flipping and divisorial contractions and pl flips in dimension $n$ for compact K\"ahler varieties, assuming results of the minimal model program in dimension $n-1$. We also give a self contained proof of t
Externí odkaz:
http://arxiv.org/abs/2306.11708
In this article we define generalized pairs $(X, B+\boldsymbol{\beta})$ where $X$ is an analytic variety and $\boldsymbol{\beta}$ is a b-(1,1) current. We then prove that almost all standard results of the MMP hold in this generality for compact K\"a
Externí odkaz:
http://arxiv.org/abs/2305.00524
Autor:
Hacon, Christopher, Xie, Lingyao
We show that generalized log canonical thresholds for complex analytic spaces satisfy the ACC and we characterize the accumulation points.
Externí odkaz:
http://arxiv.org/abs/2303.00993
Autor:
Das, Omprokash, Hacon, Christopher
In this short article we show that if $(X, B)$ is a compact K\"ahler klt pair of maximal Albanese dimension, then it has a good minimal model, i.e. there is a bimeromorphic contraction $\phi:X\dashrightarrow X'$ such that $K_{X'}+B'$ is semi-ample.
Externí odkaz:
http://arxiv.org/abs/2208.02227
Publikováno v:
Advances in Mathematics, 2024
In this article we establish the following results: Let $(X, B)$ be a dlt pair, where $X$ is a $\mathbb Q$-factorial K\"ahler $4$-fold -- (i) if $X$ is compact and $K_X+B\sim_{\mathbb Q} D\geq 0$ for some effective $\mathbb Q$-divisor, then $(X, B)$
Externí odkaz:
http://arxiv.org/abs/2205.12205
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
Publikováno v:
In Advances in Mathematics May 2024 443
Suppose that $X$ is an integral scheme (quasi-)projective over a complete local ring of mixed characteristic. Using ideas of Takamatsu-Yoshikawa and Bhatt-Ma-et. al, we define a notion of a $+$-test ideal on $X$, including for divisors and linear ser
Externí odkaz:
http://arxiv.org/abs/2106.14329