Results 41 to 50 of about 4,040,382 (312)
On the relative projective space
Let $(\mathcal C,\otimes,\mathbb 1)$ be an abelian symmetric monoidal category satisfying certain exactness conditions. In this paper we define a presheaf $\mathbb P^{n}_{\mathcal C}$ on the category of commutative algebras in $\mathcal C$ and we prove that this functor is a $\mathcal C$-scheme in the sense of Toen and Vaquié.
Data, Matias Ignacio +1 more
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Packings in Real Projective Spaces [PDF]
31 pages, 2 ...
Matthew Fickus +2 more
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The most striking feature of projective geometry is the principle of duality: If in a proposition about the projective space (the projective plane) we interchange points and planes (points and lines) we obtain a valid proposition. It thus seems natural to ask for a self-dual foundation of the theories in the sense that for every postulate the above ...
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Fibers of rational maps and Rees algebras of their base ideals
We consider a ratinonal map $\phi$ from m-dimensional projective space to n-dimensional projective space that is a parameterization of m-dimensional variety. Our main goal is to study the (m-1)-dimensional fibers of $\phi$ in relation with the m-th local
Tran Quang Hoa, Ho Vu Ngoc Phuong
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Cyclic Projections in Hadamard Spaces
6 pages, 3 ...
Alexander Lytchak, Anton Petrunin
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On totally real minimal submanifolds in complex projective space [PDF]
summary:In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective ...
Chao, Xiaoli, Li, Yaowen
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On the Projective Algebra of Randers Metrics of Constant Flag Curvature
The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F).
Mehdi Rafie-Rad, Bahman Rezaei
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On projections of metric spaces
Journal of Computational Geometry, Vol. 5 No. 1 (2014)
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Monads on projective spaces [PDF]
This is a little investigation into the classification of complexes of direct sums of line bundles on projective spaces. We consider complexes on projective k-space Pk : O_Pk(-1)^a --> O_Pk^b --> O_Pk(1)^c, with the first map injective and the second map surjective. This is called a monad.
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Features of the geometry of the five-dimensional pseudo-Euclidean space of index two [PDF]
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.
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