Results 321 to 330 of about 8,504,062 (361)

Homological mirror symmetry for Calabi–Yau hypersurfaces in projective space

, 2011
We prove Homological Mirror Symmetry for a smooth $$d$$d-dimensional Calabi–Yau hypersurface in projective space, for any $$d \ge 3$$d≥3 (for example, $$d=3$$d=3 is the quintic threefold).
Nick Sheridan
semanticscholar   +1 more source

Lines in projective spaces

Journal of Geometry, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Tropical Coamoeba and Torus-Equivariant Homological Mirror Symmetry for the Projective Space

, 2010
We introduce the notion of a tropical coamoeba which gives a combinatorial description of the Fukaya category of the mirror of a toric Fano stack. We show that the polyhedral decomposition of a real n-torus into n + 1 permutohedra gives a tropical ...
M. Futaki, K. Ueda
semanticscholar   +1 more source

Anosov flows, surface groups and curves in projective space

, 2004
Note that in [10], W. Goldman gives a complete description of these connected components in the case of finite covers of PSL(2,R). In the case of PSL(2,R), two homeomorphic components, called Teichmuller spaces, play a central role.
F. Labourie
semanticscholar   +1 more source

Topological projective spaces

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1992
While it is easy to ``see'' the topology on the point set of the real affine plane, this is not so for the line set. The same phenomenon occurs for topological projective planes and spaces. The authors succeed in improving this situation for the projective \(n\)- space \(\mathbb{P}_ n(K)=:\mathbb{P}\) over a topological skew-field \(K\): The vector ...
R. Löwen, R. Kühne
openaire   +3 more sources

Monads on projective spaces

manuscripta mathematica, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. Mohan Kumar, Chris Peterson, A. Prabhakar Rao   +2 more
openaire   +2 more sources

Parallelisms of projective spaces

Journal of Geometry, 2003
A parallelism \(\parallel\) of a projective space is an equivalence relation on the set of lines such that the Euclidean parallel postulate holds. An equivalence class of lines is then a set of mutually disjoint lines that cover the point set, normally called a ``line spread'' or more simply a ``spread'' when the context is clear.
openaire   +2 more sources

Immersing Projective Spaces [PDF]

The Annals of Mathematics, 1967
THEOREM 2. (a) HPn immerses in R8 n-Ea(n)-3J. (b) For n even, CPn immerses in R4ln-a(n)-1]. (c) For n odd, CPn immerses in R4n-a(n). Here a(n) is the number of ones in the dyadic expansion of n, and k(n) is a non-negative function depending only on the mod (8) residue class of n with k(1) = 0, k(3) = k(5) = 1 and k(7) = 4. As a consequence, for every j>
openaire   +1 more source

Projective planar spaces

Journal of Geometry, 2005
A local condition on a planar space is given which is sufficient for its points, lines and planes to be the points, the lines and some subspaces of a projective space.
openaire   +3 more sources

Cosmology with the Laser Interferometer Space Antenna

Living Reviews in Relativity, 2023
Germano Nardini
exaly