Results 31 to 40 of about 4,040,382 (312)
On Higher Syzygies of Projective Toric Varieties [PDF]
, 2006 Let A be an ample line bundle on a projective toric variety X of dimension n (≥ 2). It is known that the d-th tensor power A⊗d embedds X as a projectively normal variety in Pr := P(H0(X,L⊗d)) if d ≥ n − 1.
Shoetsu Ogata, Ogata, Shoetsu
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Proceedings, 2017 This study focuses on an analysis of perceiving the infinite “solid images” derived from the projective transformations of space in a relief perspective, with particular reference to Renaissance theatre scenery.
Leonardo Baglioni, Marta Salvatore
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Brillouin Klein bottle from artificial gauge fields
Nature Communications, 2022 Topological states are exploited based on crystalline symmetry, but under artificial gauge fields, symmetries may satisfy projective algebras, which remains less studied.
Z. Y. Chen +2 more
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Metrizations of Projective Spaces [PDF]
Proceedings of the American Mathematical Society, 1957 A two-dimensional G-space,1 in which the geodesic through two distinct points is unique, is either homeomorphic to the plane E2 and all geodesics are isometric to a straight line, or it is homeomorphic to the projective plane p2 and all geodesics are isometric to the same circle, see [1, ??10 and 31]. Two problems arise in either case: (1) To determine
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Affine Spaces within Projective Spaces [PDF]
Results in Mathematics, 1999 We endow the set of complements of a fixed subspace of a projective space with the structure of an affine space, and show that certain lines of such an affine space are affine reguli or cones over affine reguli. Moreover, we apply our concepts to the problem of describing dual spreads. We do not assume that the projective space is finite-dimensional or
Blunck, Andrea, Havlicek, Hans
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GEOMETRIC PROPERTIES OF GEODESIC SPHERES IN A COMPLEX PROJECTIVE SPACE
, 2023 We survey geometric properties of geodesic spheres in a complex projective space. These spheres can be regarded as the simplest examples in the class of all real hypersurfaces isometrically immersed into this projective space.
Maeda, Sadahiro
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On Projections In Spaces Of Pencils
Demonstratio Mathematica, 1998 The authors study an incidence structure where the points are \(k\)-dimensional subspaces of a given vector space, and each block is determined by a \((k-1)\)- and a \((k+1)\)-dimensional subspace (the former contained in the latter). They define projectivities and projective collineations, and show that projective collineations are determined by ...
Oryszczyszyn, Henryk +1 more
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Codimension One Holomorphic Distributions on the Projective Three-space [PDF]
, 2020 We study codimension one holomorphic distributions on the projective three-space, analyzing the properties of their singular schemes and tangent sheaves. In particular, we provide a classification of codimension one distributions of degree at most 2 with
Calvo-Andrade, Omegar +2 more
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Applications of a Particular Four-Dimensional Projective Geometry to Galactic Dynamics
Galaxies, 2018 Relativistic location systems that extend relativistic positioning systems show that pseudo-Riemannian space-time geometry is somehow encompassed in a particular four-dimensional projective geometry.
Jacques L. Rubin
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Centered planes in the projective connection space
Дифференциальная геометрия многообразий фигур, 2020 The space of centered planes is considered in the Cartan projective connection space . The space is important because it has connection with the Grassmann manifold, which plays an important role in geometry and topology, since it is the basic space ...
O.O. Belova
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