Results 21 to 30 of about 119,892 (309)
Non-Euclidean Biosymmetries and Algebraic Harmony in Genomes of Higher and Lower Organisms [PDF]
The article is devoted to the study of the relationship of non-Euclidean symmetries in inherited biostructures with algebraic features of information nucleotide sequences in DNA molecules in the genomes of eukaryotes and prokaryotes.
Petoukhov Sergey +2 more
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GEOMETRY OF t-PROJECTIVE STRUCTURES
The authors define and study the notion of a \(t\)-projective structure on an even dimensional manifold \(M\). Such a structure is defined as a certain reduction of the second order frame bundle \(P^2(M)\) of \(M\). The structure group is now the isotropy group of the tangent bundle of a projective space and it can be considered as a subgroup of \(G^2_{
Miernowski, Andrzej, Mozgawa, Witold
openaire +1 more source
Geometry of two-parametric family of linear line complexes
In this article differential geometry of two-parametric family of linear line complexes in the three-dimensional projective space is considered.
Kazimieras Navickis
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In this work we show that the Weil-Petersson volume (which coincides with the CM degree) in the case of weighted points in the projective line is continuous when approaching the Calabi-Yau geometry from the Fano geometry. More specifically, the CM volume
Tambasco Salvatore
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These notes are based on three lectures given at the 2013 CIME/CIRM summer school. The purpose of this series of lectures is to introduce the notion of a toric fibration and to give its geometrical and combinatorial characterizations.
A. Dickenstein +12 more
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Open string theory and planar algebras [PDF]
In this note we show that abstract planar algebras are algebras over the topological operad of moduli spaces of stable maps with Lagrangian boundary conditions, which in the case of the projective line are described in terms of real rational functions ...
Alling N L +12 more
core +5 more sources
Projective geometry of Wachspress coordinates
We show that there is a unique hypersurface of minimal degree passing through the non-faces of a polytope which is defined by a simple hyperplane arrangement. This generalizes the construction of the adjoint curve of a polygon by Wachspress in 1975.
Kohn, Kathlén, Ranestad, Kristian
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Einstein metrics in projective geometry
It is well known that pseudo-Riemannian metrics in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the solutions of a certain overdetermined projectively invariant differential equation.
A Čap +15 more
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Arnold's Projective Plane and 𝑟-Matrices
We will explain Arnold's 2-dimensional (shortly, 2D) projective geometry (Arnold, 2005) by means of lattice theory. It will be shown that the projection of the set of nontrivial triangular 𝑟-matrices is the pencil of tangent lines of a quadratic curve on
K. Uchino
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On the explicit geometry of a certain blowing-up of a smooth quadric
Using the high symmetry in the geometry of a smooth projective quadric, we construct effectively new families of smooth projective rational surfaces whose nef divisors are regular, and whose effective monoids are finitely generated by smooth projective ...
De La Rosa-Navarro B. L. +4 more
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