Results 41 to 50 of about 401,077 (355)

Cassirer and the Structural Turn in Modern Geometry

Journal for the History of Analytical Philosophy, 2018
The paper investigates Ernst Cassirer’s structuralist account of geometrical knowledge developed in his Substanzbegriff und Funktionsbegriff (1910). The aim here is twofold.
Georg Schiemer
doaj   +1 more source

Idealizer Rings and Noncommutative Projective Geometry [PDF]

, 2004
We study some properties of graded idealizer rings with an emphasis on applications to the theory of noncommutative projective geometry. In particular we give examples of rings for which the $\chi$-conditions of Artin and Zhang and the strong noetherian ...
Rogalski, Daniel
core   +2 more sources

Arnold's Projective Plane and 𝑟-Matrices

Advances in Mathematical Physics, 2010
We will explain Arnold's 2-dimensional (shortly, 2D) projective geometry (Arnold, 2005) by means of lattice theory. It will be shown that the projection of the set of nontrivial triangular 𝑟-matrices is the pencil of tangent lines of a quadratic curve on
K. Uchino
doaj   +1 more source

The cohomological Brauer group of weighted projective spaces and stacks [PDF]

Pacific J. Math. 324 (2023) 353-370, 2020
We compute the cohomological Brauer groups of twists of weighted projective spaces and weighted projective stacks.
arxiv   +1 more source

Carnap's Geometrical Methodology

Journal for the History of Analytical Philosophy, 2023
In this paper, I will offer a novel perspective on Carnapian explication, understanding it as a philosophical analogue of the transfer principle methodology that originated in nineteenth-century projective geometry.
Matteo De Benedetto
doaj  

Bundles over Quantum RealWeighted Projective Spaces

Axioms, 2012
The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed. Principal U(1)-bundles over quantum real weighted projective spaces are constructed.
Tomasz Brzeziński, Simon A. Fairfax
doaj   +1 more source

Automorphism groupoids in noncommutative projective geometry [PDF]

, 2018
We address a natural question in noncommutative geometry, namely the rigidity observed in many examples, whereby noncommutative spaces (or equivalently their coordinate algebras) have very few automorphisms by comparison with their commutative ...
Cooney, Nicholas, Grabowski, Jan E.
core   +3 more sources

Features of the geometry of the five-dimensional pseudo-Euclidean space of index two [PDF]

E3S Web of Conferences
The article is devoted to the study of the geometry of subspaces of a five-dimensional pseudo-Euclidean space. This space is attractive because all kinds of semi-Euclidean, semi-pseudo-Euclidean, hyperbolic three-dimensional spaces with projective ...
Artikbaev A., Mamadaliyev B.M.
doaj   +1 more source

Projective Cross-Ratio on Hypercomplex Numbers

, 2012
The paper presents a new cross-ratio of hypercomplex numbers based on projective geometry. We discuss the essential properties of the projective cross-ratio, notably its invariance under Mobius transformations.
Brewer, Sky
core   +1 more source

Projective geometry and spatial reasoning for STEM learning

Frontiers in Education
Projective geometry is a prominent area in many fields including art, design, architecture, and mathematics, but how it can contribute to children’s spatial reasoning as well as a supplementary geometry to that of Euclid’s in school mathematics curricula
Jennifer S. Thom, Lynn M. McGarvey, Josh Markle, Josh Markle   +3 more
doaj   +1 more source