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Matrix Science MathematicThis article will begin with the claim that Hamilton spent a great deal of time trying to figure out the three-dimensional complex numbers. He was never able to accomplish that.
MSc. Ruslan Pozinkevycha
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Spaces of algebraic maps from real projective spaces into complex projective spaces [PDF]
, 2008 We study the homotopy types of spaces of algebraic (rational) maps from real projective spaces into complex projective spaces. In a previous paper we have shown that the inclusion of the first space into the second one is a homotopy equivalence. In this paper we prove that the homotopy types of the terms of the natural "degree" filtration approximate ...
Andrzej Kozłowski, Kohhei Yamaguchi
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Bundles over Quantum RealWeighted Projective Spaces [PDF]
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
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Cycle-parallel real hypersurfaces of quaternionic projective space [PDF]
Tsukuba Journal of Mathematics, 1993 A hypersurface \(M\) of a Riemannian manifold \(A\) is said to be cyclic- parallel, if its shape operator \(A\) satisfies \({\mathfrak S} \langle (\nabla_ X A)Y, Z\rangle = 0\) for all \(X\), \(Y\), \(Z\) tangent to \(M\) where \(\mathfrak S\) denotes the cyclic sum with respect to \(X\), \(Y\), \(Z\). In the paper the following is proved: Let \(N\) be
Juan de Dios Pérez
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Fractal Dimension of Fractal Functions on the Real Projective Plane
Fractal and Fractional, 2023 In this article, we consider an iterated functions system on the non-Euclidean real projective plane which has a linear structure. Then, we study the fractal dimension of the associated curve as a subset of the projective space and like a set of the ...
Alamgir Hossain +2 more
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Packings in Real Projective Spaces [PDF]
SIAM Journal on Applied Algebra and Geometry, 2018 31 pages, 2 ...
Matthew Fickus +2 more
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Chow transformation of coherent sheaves
Complex Manifolds, 2023 We define a dual of the Chow transformation of currents on any complex projective manifold. This integral transformation is a factor of a left inverse of the Chow transformation and its composition with the Chow transformation is a right inverse of a ...
Méo Michel
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On the quaternion projective space
Journal 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
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Moduli spaces of lumps on real projective space [PDF]
Journal of Mathematical Physics, 2015 Harmonic maps that minimise the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions on real projective space are explicitly given by rational maps subject to a certain symmetry requirement. This has consequences for the behaviour of lumps and their symmetries.
Krusch, Steffen, Muhamed, Abera A
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On Severi varieties as intersections of a minimum number of quadrics
Cubo, 2022 Let $\cV$ be a variety related to the second row of the Freudenthal-Tits Magic square in $N$-dimensional projective space over an arbitrary field. We show that there exist $M\leq N$ quadrics intersecting precisely in $\cV$ if and only if there exists a ...
Hendrik Van Maldeghem, Magali Victoor
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