Results 1 to 10 of about 1,475,951 (266)
The geometry of determinant line bundles in noncommutative geometry [PDF]
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.
Partha Sarathi Chakraborty +1 more
openalex +7 more sources
Discrete asymptotic nets and W-congruences in Plucker line geometry [PDF]
, 2000 The asymptotic lattices and their transformations are studied within the line geometry approach. It is shown that the discrete asymptotic nets are represented by isotropic congruences in the Plucker quadric.
Adam Doliwa +25 more
core +2 more sources
The Analytical Geometry of the Straight-Line and the Circle [PDF]
The Mathematical Gazette, 1921 n ...
J. Milne
openalex +5 more sources
A set of axioms for line geometry [PDF]
Transactions of the American Mathematical Society, 1914 E. R. Hedrick, Louis Ingold
openalex +2 more sources
Blake’s Newton, Line-Drawing, and Geometry
Studies in Romanticism, 2021 “Young, blond, [and] curly-headed,” the nude of Newton “in some respects . . . resembles a Blakean hero” (fig. 1). His musculature tense, he stares intently at the diagram that is inscribed—in this second state of the scene, printed c. 1805—on the pale scroll still part-unfurled at his feet. As W. T. J.
Sarah Haggarty
openalex +4 more sources
Line Geometry and Camera Autocalibration [PDF]
Journal of Mathematical Imaging and Vision, 2008 We provide a completely new rigorous matrix formulation of the absolute quadratic complex (AQC), given by the set of lines intersecting the absolute conic. The new results include closed-form expressions for the camera intrinsic parameters in terms of the AQC, an algorithm to obtain the dual absolute quadric from the AQC using straightforward matrix ...
Ronda Prieto, José Ignacio +2 more
openaire +2 more sources
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
openaire +3 more sources
Geometry on the lines of spine spaces [PDF]
Aequationes mathematicae, 2017 Spine spaces can be considered as fragments of a projective Grassmann space. We prove that the structure of lines together with binary coplanarity relation, as well as with binary relation of being in one pencil of lines, is a sufficient system of primitive notions for these geometries. It is also shown that, over a spine space, the geometry of pencils
Mariusz Żynel, Krzysztof Petelczyc
openaire +2 more sources
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
On transparent embeddings of point-line geometries [PDF]
Journal of Combinatorial Theory, Series A, 2018 We introduce the class of transparent embeddings for a point-line geometry $ = ({\mathcal P},{\mathcal L})$ as the class of full projective embeddings $\varepsilon$ of $ $ such that the preimage of any projective line fully contained in $\varepsilon({\mathcal P})$ is a line of $ $.
Cardinali, Ilaria +2 more
openaire +4 more sources