Zobrazeno 1 - 10
of 180
pro vyhledávání: '"Wang, Chengxi"'
We describe the K-moduli spaces of weighted hypersurfaces of degree $2(n+3)$ in $\mathbb{P}(1,2,n+2,n+3)$. We show that the K-polystable limits of these weighted hypersurfaces are also weighted hypersurfaces of the same degree in the same weighted pr
Externí odkaz:
http://arxiv.org/abs/2406.07907
We construct exceptional Fano varieties with the smallest known minimal log discrepancies in all dimensions. These varieties are well-formed hypersurfaces in weighted projective space. Their minimal log discrepancies decay doubly exponentially with d
Externí odkaz:
http://arxiv.org/abs/2406.03570
Autor:
Wang, Chengxi
For Fano varieties of various singularities such as canonical and terminal, we construct examples with large Fano index. By low-dimensional evidence, we conjecture that our examples have the largest Fano index for all dimensions.
Comment: 13 pag
Comment: 13 pag
Externí odkaz:
http://arxiv.org/abs/2308.06563
Call a projective variety $X$ Calabi-Yau if its canonical divisor is ${\bf Q}$-linearly equivalent to zero. The smallest positive integer $m$ with $mK_X$ linearly equivalent to zero is called the index of $X$. We construct Calabi-Yau varieties with t
Externí odkaz:
http://arxiv.org/abs/2209.04597
Let $n\geq 2$ be any integer. We study the optimal lower bound $v_{n, n-i}$ of the canonical volume and the optimal upper bound $r_{n,n-i}$ of the canonical stability index for minimal projective $n$-folds of general type, which are canonically fiber
Externí odkaz:
http://arxiv.org/abs/2201.08966
Publikováno v:
In Journal of Alloys and Compounds 15 December 2024 1008
Autor:
Zhang, Jiangshan, Huang, Lei, Chen, Mengmeng, Wang, Haoran, Wang, Chengxi, Yang, Chunxue, Zhou, Huanying, Wang, Yu, Fang, Zhongze, Gao, Zhixian
Publikováno v:
In Nano Energy 1 December 2024 131 Part A
Publikováno v:
In Engineering Fracture Mechanics 8 November 2024 310
We construct smooth projective varieties of general type with the smallest known volume and others with the most known vanishing plurigenera in high dimensions. The optimal volume bound is expected to decay doubly exponentially with dimension, and ou
Externí odkaz:
http://arxiv.org/abs/2109.13383
Let $V$ be a $6$-dimensional complex vector space with an involution $\sigma$ of trace $0$, and let $W \subseteq \operatorname{Sym}^2 V^\vee$ be a generic $3$-dimensional subspace of $\sigma$-invariant quadratic forms. To these data we can associate
Externí odkaz:
http://arxiv.org/abs/2108.07768