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Bundles over Quantum RealWeighted Projective Spaces
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
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Moduli spaces of stable sheaves over quasi-polarized surfaces, and the relative Strange Duality morphism [PDF]
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
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On the quaternion projective space
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
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Geometry over composition algebras : projective geometry [PDF]
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
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Mapping spaces from projective spaces [PDF]
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
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On the properties of the projective Lie algebras of rigid h-spaces H32 of the type {32}
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
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Projective quantum spaces [PDF]
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
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Projective bundles and blow-ups of Projective spaces [PDF]
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]
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
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A Remark on Structure of Projective Klingenberg Spaces over a Certain Local Algebra
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
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