Results 101 to 110 of about 85,527 (236)

Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces

Abstract and Applied Analysis, 2014
The lightlike hypersurfaces in semi-Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types. And we obtain some geometrical propositions of the canal hypersurfaces of Lorentzian surfaces.
Sun, Jianguo, Pei, Donghe
openaire   +4 more sources

Right Conoids Demonstrating a Time-like Axis within Minkowski Four-Dimensional Space

Mathematics
In the four-dimensional Minkowski space, hypersurfaces classified as right conoids with a time-like axis are introduced and studied. The computation of matrices associated with the fundamental form, the Gauss map, and the shape operator specific to these
Yanlin Li, Erhan Güler
doaj   +1 more source

Coxeter's enumeration of Coxeter groups

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley   +1 more source

DECOMPOSABLE AFFINE HYPERSURFACES

Kyushu Journal of Mathematics, 2014
In affine differential geometry, Calabi discovered how to associate a new hyperbolic affine hypersphere with two hyperbolic affine hyperspheres. This was later generalized by Dillen and Vrancken in order to obtain a large class of examples of equiaffine homogeneous affine hypersurfaces.
Antić, Miroslava, Dillen, Franki, Schoels, Kristof, Vrancken, Luc   +3 more
openaire   +3 more sources

Theta divisors and permutohedra

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley   +1 more source

Implicitization of hypersurfaces

Journal of Symbolic Computation, 2017
We present new, practical algorithms for the hypersurface implicitization problem: namely, given a parametric description (in terms of polynomials or rational functions) of the hypersurface, find its implicit equation. Two of them are for polynomial parametrizations: one algorithm, "ElimTH", has as main step the computation of an elimination ideal via ...
ABBOTT, JOHN ANTHONY, BIGATTI, ANNA MARIA, ROBBIANO, LORENZO   +2 more
openaire   +3 more sources

Polymer brush hypersurface photolithography

Nature Communications, 2020
Various lithographic approaches are being explored to create polymer brush patterns with micrometer-scale feature dimensions. Here the authors demonstrate a printing approach which allows independent control of the monomer composition and feature height ...
Carlos Carbonell, Daniel Valles, Alexa M. Wong, Andrea S. Carlini, Mollie A. Touve, Joanna Korpanty, Nathan C. Gianneschi, Adam B. Braunschweig   +7 more
doaj   +1 more source

Algebraic tori in the complement of quartic surfaces

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract Let B⊂P3$B\subset \mathbb {P}^3$ be an slc quartic surface. The existence of an embedding Gm3↪P3∖B$\mathbb {G}_m^3\hookrightarrow \mathbb {P}^3\setminus B$ implies that B$B$ has coregularity zero. In this article, we initiate the classification of coregularity zero semi log canonical (slc) quartic surfaces B⊂P3$B\subset \mathbb {P}^3$ for ...
Eduardo Alves da Silva, Fernando Figueroa, Joaquín Moraga   +2 more
wiley   +1 more source

Canonical liftings of Calabi–Yau hypersurfaces: Dwork hypersurfaces

manuscripta mathematica
Abstract We explicitly compute canonical liftings modulo $$p^2$$ p 2 in a sense of Achinger–Zdanowicz of Dwork hypersurfaces.
openaire   +2 more sources

UNIRATIONALITY OF CUBIC HYPERSURFACES [PDF]

Journal of the Institute of Mathematics of Jussieu, 2002
Segre proved that a smooth cubic surface over Q is unirational iff it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including finite fields.
openaire   +2 more sources