Results 1 to 10 of about 597,260 (210)

Bundles over Quantum RealWeighted Projective Spaces

open access: yesAxioms, 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   +4 more sources

Moduli spaces of stable sheaves over quasi-polarized surfaces, and the relative Strange Duality morphism [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2021
The main result of the present paper is a construction of relative moduli spaces of stable sheaves over the stack of quasipolarized projective surfaces. For this, we use the theory of good moduli spaces, whose study was initiated by Alper. As a corollary,
Svetlana Makarova
doaj   +1 more source

On the quaternion projective space

open access: yesJournal of Taibah University for Science, 2020
Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we
Y. Omar   +4 more
doaj   +1 more source

Geometry over composition algebras : projective geometry [PDF]

open access: yes, 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   +3 more sources

Mapping spaces from projective spaces [PDF]

open access: yes, 2015
We denote the $n$-th projective space of a topological monoid $G$ by $B_nG$ and the classifying space by $BG$. Let $G$ be a well-pointed topological monoid of the homotopy type of a CW complex and $G'$ a well-pointed grouplike topological monoid.
Tsutaya, Mitsunobu
core   +1 more source

On the properties of the projective Lie algebras of rigid h-spaces H32 of the type {32}

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2020
The five-dimensional pseudo-Riemannian spaces that admit infinitesimal projective transformations were studied. A general solution of the Eisenhart equation in the h-space H32 of non-constant curvature was found.
A.V. Aminova, D.R. Khakimov
doaj   +1 more source

Projective quantum spaces [PDF]

open access: yes, 1994
Associated to the standard $SU_{q}(n)$ R-matrices, we introduce quantum spheres $S_{q}^{2n-1}$, projective quantum spaces $CP_{q}^{n-1}$, and quantum Grassmann manifolds $G_{k}(C_{q}^{n})$.
E. Taft   +10 more
core   +2 more sources

Projective bundles and blow-ups of Projective spaces [PDF]

open access: yesAnnali di Matematica 201 (2022) 2707--2713, 2020
The aim of this note is to investigate the relation between two types of non-singular projective varieties of Picard rank 2, namely the Projective bundles over Projective spaces and certain Blow-up of Projective spaces.
arxiv   +1 more source

On the varieties of the second row of the split Freudenthal-Tits Magic Square [PDF]

open access: yes, 2016
Our main aim is to provide a uniform geometric characterization of the analogues over arbitrary fields of the four complex Severi varieties, i.e.~the quadric Veronese varieties in 5-dimensional projective spaces, the Segre varieties in 8-di\-men\-sional ...
Schillewaert, Jeroen   +1 more
core   +4 more sources

A Remark on Structure of Projective Klingenberg Spaces over a Certain Local Algebra

open access: yesMathematics, 2019
This article is devoted to the projective Klingenberg spaces over a local ring, which is a linear algebra generated by one nilpotent element. In this case, subspaces of such Klingenberg spaces are described.
Marek Jukl
doaj   +1 more source

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