Results 11 to 20 of about 5,172,925 (243)
The geometry of determinant line bundles in noncommutative geometry
Journal of Noncommutative Geometry, 2009 This article is concerned with the study of the geometry of determinant line bundles associated to families of spectral triples parametrized by the moduli space of gauge equivalence classes of Hermitian connections on a Hermitian finite projective module. We illustrate our results with some examples that arise in noncommutative geometry.
Chakraborty, P., Varghese, M.
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Kinematic Differential Geometry of a Line Trajectory in Spatial Movement
Axioms, 2023 This paper investigates the kinematic differential geometry of a line trajectory in spatial movement. Specifically, we provide a theoretical expression of inflection line congruence, which is the spatial equivalent of the inflection circle of planar ...
Areej A. Almoneef, Rashad A. Abdel-Baky
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Geometry of Lines on a Cubic Four-Fold
International Mathematics Research Notices, 2023 Abstract For a general cubic four-fold $X\subset {\mathbb {P}}^5$ with Fano scheme of lines $F$, we prove a number of properties of the universal family of lines $I\to F$ and various subloci. We first describe the moduli and ramification theory of the genus four fibration $p:I\to X$ and explore its relation to a birational model of $F ...
Gounelas, Frank, Kouvidakis, Alexis
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Extremal properties of line arrangements in the complex projective plane [PDF]
, 2019 In the present note we study some extreme properties of point-line configurations in the complex projective plane from a viewpoint of algebraic geometry.
Piotr Pokora, Pokora, Piotr
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The GeoModel tool suite for detector description [PDF]
EPJ Web of Conferences, 2021 The GeoModel class library for detector description has recently been released as an open-source package and extended with a set of tools to allow much of the detector modeling to be carried out in a lightweight development environment, outside of large ...
Bandieramonte Marilena +4 more
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The Structure of Line Bundles over Quantum Teardrops [PDF]
, 2014 Over the quantum weighted 1-dimensional complex projective spaces, called quantum teardrops, the quantum line bundles associated with the quantum principal U(1)-bundles introduced and studied by Brzezinski and Fairfax are explicitly identified among the ...
Albert Jeu-Liang Sheu
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Near-optimal algorithms for point-line fitting problems
, 2022 We study the {\sc Rich Lines} problem, which is a fundamental point-line fitting problem in computational geometry. In this problem, the input is a set $S$ of points in the plane, and the goal is to compute the set of all lines that each covers at least $
Chen, Jianer +3 more
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Kinematic Geometry of a Timelike Line Trajectory in Hyperbolic Locomotions
Axioms, 2023 This study utilizes the axodes invariants to derive novel hyperbolic proofs of the Euler–Savary and Disteli formulae. The inflection circle, which is widely recognized, is situated on the hyperbolic dual unit sphere, in accordance with the principles of ...
Areej A. Almoneef, Rashad A. Abdel-Baky
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Epipolar geometry based on line similarity [PDF]
2016 23rd International Conference on Pattern Recognition (ICPR), 2016 ICPR 2016, Cancun, Dec ...
Gil Ben-Artzi +3 more
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(a) Geometry of the TSIR (b) Equivalent transmission line structure.
, 2022 (a) Geometry of the TSIR (b) Equivalent transmission line structure.
Farid Zubir (11965951) +3 more
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