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Projective geometry for blueprints [PDF]

open access: yesComptes Rendus. Mathématique, 2012
In this note, we generalize the Proj-construction from usual schemes to blue schemes. This yields the definition of projective space and projective varieties over a blueprint.
Lorscheid, Oliver, Peña, Javier López
core   +7 more sources

Geometry over composition algebras : projective geometry [PDF]

open access: yesJournal of Algebra, 2005
The purpose of this article is to introduce projective geometry over composition algebras : the equivalent of projective spaces and Grassmannians over them are defined.
Chaput, Pierre-Emmanuel
core   +6 more sources

The Projective Consciousness Model: Projective Geometry at the Core of Consciousness and the Integration of Perception, Imagination, Motivation, Emotion, Social Cognition and Action [PDF]

open access: yesBrain Sciences, 2023
Consciousness has been described as acting as a global workspace that integrates perception, imagination, emotion and action programming for adaptive decision making.
David Rudrauf   +5 more
doaj   +2 more sources

A Projective-Geometry-Aware Network for 3D Vertebra Localization in Calibrated Biplanar X-Ray Images [PDF]

open access: yesSensors
Current Deep Learning (DL)-based methods for vertebra localization in biplanar X-ray images mainly focus on two-dimensional (2D) information and neglect the projective geometry, limiting the accuracy of 3D navigation in X-ray-guided spine surgery.
Kangqing Ye   +3 more
doaj   +2 more sources

Geometry of Quantum Projective Spaces [PDF]

open access: yesNoncommutative Geometry and Physics 3, 2012
In recent years, several quantizations of real manifolds have been studied, in particular from the point of view of Connes' noncommutative geometry. Less is known for complex noncommutative spaces.
D'Andrea, Francesco, Landi, Giovanni
core   +6 more sources

New quantum LDPC codes based on projective geometry [PDF]

open access: yesScientific Reports
With the progress in techniques for correcting errors in quantum computing, quantum low density parity check (QLDPC) codes have gained increasing significance within the field of quantum error correction.
Chuchen Tang   +2 more
doaj   +2 more sources

Projective geometry of Wachspress coordinates [PDF]

open access: yesFoundations of Computational Mathematics, 2019
We show that there is a unique hypersurface of minimal degree passing through the non-faces of a polytope which is defined by a simple hyperplane arrangement. This generalizes the construction of the adjoint curve of a polygon by Wachspress in 1975.
Kohn, Kathlén, Ranestad, Kristian
core   +5 more sources

C-projective geometry [PDF]

open access: yesMemoirs of the American Mathematical Society, 2020
117 pages; v2 added material on cones, local classification and ...
Calderbank, David M. J.   +3 more
openaire   +5 more sources

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