Zobrazeno 1 - 10
of 102 928
pro vyhledávání: '"HyperSurface"'
Autor:
Reinke, Bernhard, Wang, Kexin
The Euler characteristic of a very affine variety encodes the number of critical points of the likelihood equation on this variety. In this paper, we study the Euler characteristic of the complement of a hypersurface arrangement with generic hypersur
Externí odkaz:
http://arxiv.org/abs/2412.20869
Autor:
Gao, Shanze
In the Minkowski space, we consider a spacelike hypersurface with boundary, which can be written as a graph. We prove that, if its $k$-th mean curvature is constant, and its boundary is on a hyperplane with constant intersection angles, then the hype
Externí odkaz:
http://arxiv.org/abs/2412.17410
Autor:
Zhang, Yilong
We study an irreducible component $H(X)$ of the Hilbert scheme $Hilb^{2t+2}(X)$ of a smooth cubic hypersurface $X$ containing two disjoint lines. For cubic threefolds, $H(X)$ is always smooth, as shown in arXiv:2010.11622. We provide a second proof a
Externí odkaz:
http://arxiv.org/abs/2501.01682
Autor:
Prokhorov, Yuri
We investigate birational properties of hypersurfaces of degree $6$ in the weighted projective space $\mathbf{P}(1,1,2,2,3)$. In particular, we prove that any such quasi-smooth hypersurface is not rational.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/2412.05120
Autor:
Machado, Diogo Da Silva
Given a complex compact manifold $X$, we prove a Baum-Bott type formula for one-dimensional foliations on $X$, logarithmic along a hypersurface with isolated singularities. In this case, we show that the residues of the singularities of foliations ca
Externí odkaz:
http://arxiv.org/abs/2411.07768
Unlike black hole thermodynamics, the fluid-gravity correspondence of a generic null surface appears to be ``incomplete''; though both approaches point to the emergent nature of gravitation. In the existing formulation of fluid-gravity correspondence
Externí odkaz:
http://arxiv.org/abs/2411.06914
Autor:
Chiu, Kenneth Chung Tak
We use the determinant method of Bombieri-Pila and Heath-Brown and its Arakelov reformulation by Chen utilizing Bost's slope method to estimate the number of hypersurfaces required to cover the regular rational points with bounded Arakelov height on
Externí odkaz:
http://arxiv.org/abs/2412.05205
Autor:
Cheng, Pengpeng, Li, Tongzhu
Let $M^4\to \mathbb{S}^5$ be a closed immersed minimal hypersurface with constant squared length of the second fundamental form $S$ in a $5$-dimensional sphere $\mathbb{S}^5$. In this paper, we prove that if $3$-mean curvature $H_3$ and the number $g
Externí odkaz:
http://arxiv.org/abs/2410.19531