Results 11 to 20 of about 11,489,693 (332)

Rational Singularities and Rational Points [PDF]

Pure and Applied Mathematics Quarterly, 2008
If $X$ is a projective, geometrically irreducible variety defined over a finite field $\F_q$, such that it is smooth and its Chow group of 0-cycles fulfills base change, i.e. $CH_0(X\times_{\F_q}\bar{\F_q(X)})=\Q$, then the second author's theorem asserts that its number of rational points satisfies $|X(\F_q)| \equiv 1$ modulo $q$. If $X$ is not smooth,
Blickle, Manuel, Esnault, Hélène
openaire   +2 more sources

Fixed Point Results for Rational Orbitally (Θ,δb)-Contractions with an Application

Journal of Function Spaces, 2021
The purpose of this paper is to define a rational orbitally (Θ,δb)-contraction and prove some new results in the context of b-metric spaces. Our results extend, generalize, and unify some known results in the literature. As application of our main result,
Zhenhua Ma, Jamshaid Ahmad, Abdullah Eqal Al-Mazrooei, Durdana Lateef   +3 more
doaj   +1 more source

Most odd degree hyperelliptic curves have only one rational point [PDF]

, 2013
Consider the smooth projective models C of curves y 2 = f(x) with f(x) 2 Z[x] monic and separable of degree 2g + 1. We prove that for g 3, a positive fraction of these have only one rational point, the point at innity.
B. Poonen, M. Stoll
semanticscholar   +1 more source

mmCSM-AB: guiding rational antibody engineering through multiple point mutations

Nucleic Acids Res., 2020
While antibodies are becoming an increasingly important therapeutic class, especially in personalized medicine, their development and optimization has been largely through experimental exploration.
Yoochan Myung, Douglas E. V. Pires, D. Ascher   +2 more
semanticscholar   +1 more source

Rational Cohomology Fixed Points [PDF]

Advances in Group Theory and Applications, 2023
For n ∈ N, we introduce the notion of n-rational cohomology fixed points and we prove, under a certain assumption, that if X is a rational space, then X admits an (n - 1)-rational cohomology fixed point, where n = max{i : kn ≠ 0}.
Mahmoud Benkhalifa
doaj   +1 more source

Fast computation of a rational point of a variety over a finite field [PDF]

Mathematics of Computation, 2004
We exhibit a probabilistic algorithm which computes a rational point of an absolutely irreducible variety over a finite field defined by a reduced regular sequence. Its time-space complexity is roughly quadratic in the logarithm of the cardinality of the
A. Cafure, G. Matera
semanticscholar   +1 more source

Spherical wave diffraction by a rational wedge [PDF]

, 1986
In this paper we derive a new expression for the point source Green's function for the reduced wave equation, valid in an angular sector, whoseangle is equal to a rational multiple of . This Green's function is used to find new expressions for the field
Rawlins, A D
core   +6 more sources

Hide in Thicket: Generating Imperceptible and Rational Adversarial Perturbations on 3D Point Clouds [PDF]

Computer Vision and Pattern Recognition
Adversarial attack methods based on point manipulation for 3D point cloud classification have revealed the fragility of 3D models, yet the adversarial examples they produce are easily perceived or defended against.
Tianrui Lou, Xiaojun Jia, Jindong Gu, Li Liu, Siyuan Liang, Bangyan He, Xiaochun Cao   +6 more
semanticscholar   +1 more source

Linear Barycentric Rational Method for Two-Point Boundary Value Equations

Journal of Mathematics, 2021
Linear barycentric rational method for solving two-point boundary value equations is presented. The matrix form of the collocation method is also obtained.
Qian Ge, Xiaoping Zhang
doaj   +1 more source

Varieties over a finite field with trivial Chow group of 0-cycles have a rational point [PDF]

, 2002
Smooth projective varieties $X$ over a finite field $k$ with $CH_0(X\otimes \bar{k(X)})=\mathbb Z$ have a rational point, in particular Fano varieties.
H. Esnault
semanticscholar   +1 more source