Results 61 to 70 of about 4,868,795 (209)

Visibility and Intersection Density for Boolean Models in Hyperbolic Space

open access: yesMathematische Nachrichten, Volume 299, Issue 9, Page 2542-2565, September 2026.
ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler   +2 more
wiley   +1 more source

Real Cubic Hypersurfaces and Group Laws

open access: yesRevista Matemática Complutense, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Isoparametric and Dupin Hypersurfaces

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
doaj   +1 more source

Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
Recent advances in CR (Cauchy-Riemann) geometry have raised interesting fine questions about the regularity of CR mappings between real analytic hypersurfaces.
Joël Merker
doaj   +1 more source

The three‐step test in international copyright—a global framework for generative AI training

open access: yesAmerican Business Law Journal, Volume 63, Issue 3, Page 265-298, Fall 2026.
Abstract The training of generative artificial intelligence (genAI) models involves the processing of large datasets, which often include copyrighted materials, thereby raising questions of copyright infringement. These questions tend to center on whether such use constitutes fair use or falls under text and data mining (TDM) exceptions.
Nicola Lucchi   +2 more
wiley   +1 more source

The Hypersurface Case [PDF]

open access: yes, 1997
In this paper we apply for the first time a new method for multivariate equation solving which was developed in for complex root determination to the real case.
Heintz, Joos   +3 more
core   +1 more source

Singularity of non‐pluripolar cohomology classes

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We establish a relation between Lelong numbers and the full mass property of relative non‐pluripolar products. We use this relation to prove that if the restricted volume of a big class α$\alpha$ along an effective divisor D$D$ has full mass, then the Lelong numbers of the non‐pluripolar class ⟨αn−1⟩$\langle \alpha ^{n-1}\rangle$ at every ...
Duc‐Bao Nguyen   +2 more
wiley   +1 more source

Topology of random real hypersurfaces

open access: yes, 2014
18 pages, notes of the course I gave during the CIMPA summer school at Villa de Leyva, Colombia, in July ...
openaire   +4 more sources

Refinements on higher order Weil–Oesterlé bounds via a Serre type argument

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract Weil's theorem gives the most standard bound on the maximum number of points Nq(g)$N_q(g)$ of a curve of genus g$g$ over a finite field Fq$\mathbb {F}_q$. This bound was improved by Ihara and Oesterlé for larger genus. A recent point of view allows one to recover these bounds by solving a sequence of semi‐definite programs, and the first two ...
Emmanuel Hallouin   +2 more
wiley   +1 more source

Real hypersurfaces of a complex projective space

open access: yesTsukuba Journal of Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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