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The BGG Complex on Projective Space [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
Michael G. Eastwood, A. Rod Gover
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A Dual of the Chow Transformation

Complex Manifolds, 2018
We define a dual of the Chow transformation of currents on the complex projective space. This transformation factorizes a left inverse of the Chow transformation and its composition with the Chow transformation is a right inverse of a linear diferential ...
Méo Michel
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On the moduli space of superminimal surfaces in spheres

International Journal of Mathematics and Mathematical Sciences, 2003
Using a birational correspondence between the twistor space of S2n and projective space, we describe, up to birational equivalence, the moduli space of superminimal surfaces in S2n of degree d as curves of degree d in projective space satisfying a ...
Luis Fernández
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Critical hypersurfaces and instability for reconstruction of scenes in high dimensional projective spaces

Machine 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
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On geometry of orbits of adapted projective frame space

Дифференциальная геометрия многообразий фигур, 2019
The current paper continues consideration of geometry of projective frame orbits started in the author’s article in the previous issue. The n-dimensional projective space with a distinguished point (the center) is considered.
A. Kuleshov
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Neural Network-Based Projective Grid Model for Learning Representation of Surface and Wave Foams

IEEE Access
In this paper, we propose a projective grid model that enables learning representation of foam effects using artificial neural networks. In 3D fluid simulations, foam is one of the most representative secondary effects in water.
Jong-Hyun Kim
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Relativistic Localizing Processes Bespeak an Inevitable Projective Geometry of Spacetime

Advances in High Energy Physics, 2017
Surprisingly, the issue of events localization in spacetime is poorly understood and a fortiori realized even in the context of Einstein’s relativity.
Jacques L. Rubin
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Line Spreads That Produce Projective Planes

Mathematics
We explicitly classify those line spreads of projective 5-space over a field that have the property that the given spread induces a spread in the 3-space generated by any pair of spread lines.
Hendrik Van Maldeghem
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Strongly not relatives Kähler manifolds

Complex Manifolds, 2017
In this paper we study Kähler manifolds that are strongly not relative to any projective Kähler manifold, i.e. those Kähler manifolds that do not share a Kähler submanifold with any projective Kähler manifold even when their metric is rescaled by the ...
Zedda Michela
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Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields

Comptes Rendus. Mathématique
Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
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