Results 1 to 10 of about 172 (97)

Finiteness theorems on hypersurfaces in partial differential-algebraic geometry [PDF]

open access: yesAdvances in Mathematics, 2017
Hrushovski's generalization and application of [Jouanolou, "Hypersurfaces solutions d'une équation de Pfaff analytique", Mathematische Annalen, 232 (3):239--245, 1978] is here refined and extended to the partial differential setting with possibly nonconstant coefficient fields.
Rahim Moosa
exaly   +4 more sources

FORMATION OF MODERN MATHEMATICAL APPROACH TO SOLVING PROBLEMS OF PHYSICS

open access: yesФізико-математична освіта, 2022
Formulation of the problem. Precision studies of the Higgs boson, supersymmetric particles, the magnetic moment of the muon, electric dipole moment of the electron, flavor anomalies demonstrate the deviation beyond Standard Model. They are connected with
Тетяна Обіход
doaj   +1 more source

Critical hypersurfaces and instability for reconstruction of scenes in high dimensional projective spaces

open access: yesMachine Graphics & Vision, 2020
In the context of multiple view geometry, images of static scenes are modeled as linear projections from a projective space ℙ3 to a projective plane ℙ2 and, similarly, videos or images of suitable dynamic or segmented scenes can be modeled as linear ...
Bertolini Marina, Magri Luca
doaj   +1 more source

Geometry of obstructed equisingular families of algebraic hypersurfaces

open access: yesJournal of Pure and Applied Algebra, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gourevitch, Anna, Gourevitch, Dmitry
openaire   +2 more sources

Spherical spacelike geometries in static spherically symmetric spacetimes: Generalized Painlevè–Gullstrand coordinates, foliation, and embedding

open access: yesPhysics Letters B, 2017
It is well known that static spherically symmetric spacetimes can admit foliations by flat spacelike hypersurfaces, which are best described in terms of the Painlevè–Gullstrand coordinates.
M.M. Akbar
doaj   +1 more source

Some Applications of Casorati Curvature for Statistical Submanifolds of Sasakian Statistical Manifolds and Locally Homogeneous, Quasi-Umbilical Hypersurfaces

open access: yesپژوهش‌های ریاضی, 2021
In this paper, in the first part, the affine geometry is assumed as the main framework. Then we have a spacious explanation of necessary introduction in rather different subjects.
Azam Etemad Dehkordy
doaj  

Lower bounds for incidences with hypersurfaces

open access: yesDiscrete Analysis, 2016
Lower bounds for incidences with hypersurfaces, Discrete Analysis 2016:16, 14pp. A fundamental result in combinatorial geometry, the Szemerédi-Trotter theorem, states that among any $n$ points and $m$ lines in $\mathbb R^2$ there can be at most $O((mn)^{
Adam Sheffer
doaj   +1 more source

Survey on differential estimators for 3d point clouds

open access: yesComputer Graphics Forum, EarlyView.
Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger   +4 more
wiley   +1 more source

Tangent Blow‐Ups for Processing Non‐Manifold Geometry

open access: yesComputer Graphics Forum, EarlyView.
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov   +3 more
wiley   +1 more source

On computing local monodromy and the numerical local irreducible decomposition

open access: yesTransactions 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   +1 more
wiley   +1 more source

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