Zobrazeno 1 - 10
of 40
pro vyhledávání: '"14E30, 14B05"'
Autor:
Liu, Jihao, Xie, Lingyao
We show that the anti-canonical bundle of any $\mathbb Q$-factorial surface is numerically effective if and only if it is pseudo-effective. To prove this, we establish a numerical non-vanishing theorem for surfaces polarized with pseudo-effective div
Externí odkaz:
http://arxiv.org/abs/2410.15457
We prove the ACC conjecture for local volumes. Moreover, when the local volume is bounded away from zero, we prove Shokurov's ACC conjecture for minimal log discrepancies.
Comment: 22 pages, remove the assumption "Q-Gorenstein" in Theorem 1.7
Comment: 22 pages, remove the assumption "Q-Gorenstein" in Theorem 1.7
Externí odkaz:
http://arxiv.org/abs/2408.15090
Let $\mathbb{K}$ be an algebraically closed field of characteristic $p>5$. We show the existence of minimal models for pseudo-effective NQC lc generalized pairs in dimension three over $\mathbb{K}$. As a consequence, we prove the termination of flips
Externí odkaz:
http://arxiv.org/abs/2408.12269
Autor:
Nakamura, Yusuke, Shibata, Kohsuke
We prove the precise inversion of adjunction formula for finite linear group quotients of complete intersection varieties defined by semi-invariant equations. As an application, we prove the semi-continuity of minimal log discrepancies for them. Thes
Externí odkaz:
http://arxiv.org/abs/2312.05808
We establish the Kodaira vanishing theorem and the Kawamata-Viehweg vanishing theorem for lc generalized pairs. As a consequence, we provide a new proof of the base-point-freeness theorem for lc generalized pairs. This new approach allows us to prove
Externí odkaz:
http://arxiv.org/abs/2305.12337
Autor:
Arvidsson, Emelie, Posva, Quentin
We prove the normality of minimal log canonical centers on threefold pairs which residue fields are perfect of residue characteristics $p\neq 2,3 $ and $5$. We also show that the union of all log canonical centers on threefold pairs with standard coe
Externí odkaz:
http://arxiv.org/abs/2302.07329
We study the relation between the coregularity, the index of log Calabi-Yau pairs, and the complements of Fano varieties. We show that the index of a log Calabi-Yau pair $(X,B)$ of coregularity $1$ is at most $120\lambda^2$, where $\lambda$ is the We
Externí odkaz:
http://arxiv.org/abs/2211.09187
Publikováno v:
Doc. Math. 29 (2024), no. 3, 703-732
We show that log canonical thresholds of fixed dimension are standardized. More precisely, we show that any sequence of log canonical thresholds in fixed dimension $d$ accumulates in a way which is i) either similar to how standard and hyperstandard
Externí odkaz:
http://arxiv.org/abs/2209.11369
Autor:
Nakamura, Yusuke, Shibata, Kohsuke
We prove Shokurov's index conjecture for quotient singularities.
Comment: 8 pages. To appear in London Math. Soc. Lecture Note Ser. "Higher Dimensional Algebraic Geometry --A Volume in Honor of V.V. Shokurov--"
Comment: 8 pages. To appear in London Math. Soc. Lecture Note Ser. "Higher Dimensional Algebraic Geometry --A Volume in Honor of V.V. Shokurov--"
Externí odkaz:
http://arxiv.org/abs/2209.04845
Autor:
Liu, Jihao
Publikováno v:
Forum Math. Sigma. Volume 11 (2023), E42
We give an explicit characterization on the singularities of exceptional pairs in any dimension. In particular, we show that any exceptional Fano surface is $\frac{1}{42}$-lc. As corollaries, we show that any $\mathbb R$-complementary surface $X$ has
Externí odkaz:
http://arxiv.org/abs/2208.09184