Results 51 to 60 of about 3,252 (223)
Let \({\mathbf P \mathbf G}(V)\) be an \((n + 1)\)-dimensional projective space arising from a right \((n + 2)\)-dimensional vector space over some skewfield \(D\). Let \(0 \leq k \leq n\) and let \({\mathcal H}\) be a collection of \(k\)-dimensional subspaces of \({\mathbf P \mathbf G} (V)\) with the property that for every \((k-1)\)-dimensional ...
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Equidistant codes in the Grassmannian
Equidistant codes over vector spaces are considered. For $k$-dimensional subspaces over a large vector space the largest code is always a sunflower. We present several simple constructions for such codes which might produce the largest non-sunflower codes. A novel construction, based on the Plücker embedding, for 1-intersecting codes of $k$-dimensional
Tuvi Etzion, Netanel Raviv
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We present an existence theorem for a class of generalized quasi-variational problem involving Grassmannian manifolds. This class is directly inspired by a general equilibrium problem with time, uncertainty and incomplete financial market with real ...
Maria B. Donato, Antonio Villanacci
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We study projective homogeneous varieties under an action of a projective unitary group (of outer type). We are especially interested in the case of (unitary) grassmannians of totally isotropic subspaces of a hermitian form over a field, the main result saying that these grassmannians are 2-incompressible if the hermitian form is generic.
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A characterization of symplectic Grassmannians [PDF]
We provide a characterization of Symplectic Grassmannians in terms of their Varieties of Minimal Rational Tangents.
Occhetta, Gianluca +2 more
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Survey on differential estimators for 3d point clouds
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
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Homology rigidity of grassmannians [PDF]
9 ...
Li, Fang, Duan, Haibao
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Positivity, Grassmannian geometry and simplex-like structures of scattering amplitudes
This article revisits and elaborates the significant role of positive geometry of momentum twistor Grassmannian for planar N=4 $$ \mathcal{N}=4 $$ SYM scattering amplitudes.
Junjie Rao
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On computing local monodromy and the numerical local irreducible decomposition
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
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Twisting the quantum Grassmannian
In contrast to the classical and semiclassical settings, the Coxeter element (12...n) which cycles the columns of an m x n matrix does not determine an automorphism of the quantum grassmannian.
Lenagan, T.H. +3 more
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