Results 71 to 80 of about 13,708 (218)

On computing local monodromy and the numerical local irreducible decomposition

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards, Jonathan D. Hauenstein   +1 more
wiley   +1 more source

Minimization of hypersurfaces

Mathematics of Computation
Let F ∈ Z
Andreas-Stephan Elsenhans, Michael Stoll
openaire   +2 more sources

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Biharmonic hypersurfaces in the standard Lorentz 5-pseudosphere [PDF]

Journal of Mahani Mathematical Research
In this manuscript, we study the Lorentz hypersurfaces of the Lorentz 5-pseudosphere (i.e. the pseudo-Euclidean 5-sphere) $S^5_1$ having three distinct principal curvatures.
Ghorbanali Haghighatdoos, Sara Hoseinpour, Firooz Pashaie, Leila Shahbaz   +3 more
doaj   +1 more source

Proper affine deformations of positive representations

Journal of Topology, Volume 19, Issue 4, December 2026.
Abstract We define, for every positive Anosov representation of a nonabelian free group into SO(2n,2n−1)$\mathrm{SO}(2n,2n-1)$, a family of R4n−1$\mathbb {R}^{4n-1}$‐valued cocycles which induce proper affine actions on R4n−1$\mathbb {R}^{4n-1}$. We construct fundamental domains in R4n−1$\mathbb {R}^{4n-1}$ bounded by generalized crooked planes for ...
Jean‐Philippe Burelle, Neža Žager Korenjak   +1 more
wiley   +1 more source

Finslerian Hypersurfaces and Generalized Change of Finsler Metric

, 2016
In the present paper, using the field of linear frame [13], we shall considered Finslerian hypersurfaces given by generalized change of Finsler metric.
Tiwari, S. K.;Rai, Anamika
core   +1 more source

The length of the second fundamental form, a tangency principle and applications

Anais da Academia Brasileira de Ciências, 2004
In this paper we prove a tangency principle (see Fontenele and Silva 2001) related with the length of the second fundamental form, for hypersurfaces of an arbitrary ambient space.
Francisco X. Fontenele, Sérgio L. Silva
doaj   +1 more source

Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$

Mathematische Nachrichten, Volume 299, Issue 10, Page 2805-2835, October 2026.
ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
wiley   +1 more source

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

Topological and geometric rigidity of nonnegatively curved submanifolds

Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.
Abstract We investigate the topology and geometry of compact submanifolds in space forms of nonnegative curvature satisfying a lower bound on the sectional curvature that depends only on the length of the mean curvature vector of the immersion. We show that this condition imposes strong constraints on either the topology or geometry of the submanifold.
Theodoros Vlachos
wiley   +1 more source