language:
Find link is a tool written by Edward Betts.Longer titles found: Gromov's inequality for complex projective space (view)
searching for Complex projective space 35 found (149 total)
alternate case: complex projective space
Twistor string theory
(316 words)
[view diff]
exact match in snippet
view article
find links to article
quantum theory with gravity. Twistor space is a three-dimensional complex projective space in which physical quantities appear as certain structural deformationsSerre spectral sequence (2,641 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \mathbb {Z} [x]/x^{n+1}.} In the case of infinite complex projective space, taking limits gives the answer Z [ x ] . {\displaystyle \mathbbFermat quintic threefold (310 words) [view diff] exact match in snippet view article find links to article
other words a degree 5, dimension 3 hypersurface in 4-dimensional complex projective space, given by the equation V 5 + W 5 + X 5 + Y 5 + Z 5 = 0 {\displaystyleHomotopy group (3,417 words) [view diff] no match in snippet view article find links to article
In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. The first and simplest homotopy group is the fundamentalSymmetric product of an algebraic curve (582 words) [view diff] exact match in snippet view article find links to article
{∞} ≈ S2), its nth symmetric product ΣnC can be identified with complex projective space C P n {\displaystyle \mathbb {CP} ^{n}} of dimension n. If G hasGrassmann bundle (520 words) [view diff] exact match in snippet view article find links to article
{P} (V)} ), there is the natural identification (see Chern class#Complex projective space for example): Hom ( l , V / l ) = T l P ( V ) {\displaystyleAbelian variety (2,918 words) [view diff] exact match in snippet view article find links to article
those complex tori that can be holomorphically embedded into a complex projective space. Abelian varieties defined over algebraic number fields are a specialPierre Lelong (354 words) [view diff] exact match in snippet view article find links to article
inside a complex projective space and there are many complex- analytic objects on it which are constructed from those on the complex projective space. WhenComplex affine space (2,538 words) [view diff] exact match in snippet view article find links to article
projective geometry. A complex affine space can be obtained from a complex projective space by fixing a hyperplane, which can be thought of as a hyperplaneLine bundle (1,612 words) [view diff] exact match in snippet view article find links to article
explicitly, in the infinite-dimensional analogues of real and complex projective space. Therefore the classifying space BC2 is of the homotopy type ofSimple Lie group (2,262 words) [view diff] exact match in snippet view article find links to article
PUSp(n), PUSp(2n) Hermitian. Complex structures of Hn. Copies of complex projective space in quaternionic projective space. Dn (n ≥ 4) compact n(2n − 1)Algebraic geometry and analytic geometry (2,517 words) [view diff] exact match in snippet view article find links to article
of comparison available. It states that an analytic subspace of complex projective space that is closed (in the ordinary topological sense) is an algebraicRichard S. Ward (441 words) [view diff] exact match in snippet view article find links to article
describe instantons by vector bundles on the three-dimensional complex projective space. He has related interests in the theory of monopoles, topologicalIsotropic manifold (523 words) [view diff] exact match in snippet view article find links to article
isotropic manifolds which do not have constant curvature, such as the complex projective space C P n {\displaystyle \mathbb {CP} ^{n}} ( n > 1 {\displaystyleClassifying space (1,895 words) [view diff] exact match in snippet view article find links to article
symmetric group S n . {\displaystyle S_{n}.} The infinite dimensional complex projective space C P ∞ {\displaystyle \mathbb {CP} ^{\infty }} is the classifying4-manifold (1,940 words) [view diff] exact match in snippet view article find links to article
depending on the Kirby–Siebenmann invariant: one is 2-dimensional complex projective space, and the other is a fake projective space, with the same homotopyWelch bounds (1,389 words) [view diff] exact match in snippet view article find links to article
if the set of vectors is a t {\displaystyle t} -design in the complex projective space C P n − 1 {\displaystyle \mathbb {CP} ^{n-1}} . Spherical designContinuous geometry (1,514 words) [view diff] exact match in snippet view article find links to article
elements with unique complements are 0 and 1. Finite-dimensional complex projective space, or rather its set of linear subspaces, is a continuous geometryLinear fractional transformation (1,675 words) [view diff] exact match in snippet view article find links to article
flow induced by the linear fractional transformation decomposes complex projective space into stable and unstable manifolds, with the horocycles appearingGeometric invariant theory (2,272 words) [view diff] exact match in snippet view article find links to article
so that non-zero orbits are parametrized by the points of the complex projective space CPn–1. If this happens (different orbits having the same functionJumping line (512 words) [view diff] exact match in snippet view article find links to article
skew-symmetric form. There is a rank 2 vector bundle over the 3-dimensional complex projective space associated to V, that assigns to each line L of V the 2-dimensionalOvoid (projective geometry) (1,520 words) [view diff] exact match in snippet view article
(projective space over C {\displaystyle {\mathbb {C} }} ). In a complex projective space of dimension d ≥ 3 there are no ovoidal quadrics, because in thatMark Lee Green (554 words) [view diff] exact match in snippet view article find links to article
American Mathematical Society in 2012. "Holomorphic maps into complex projective space omitting hyperplanes." Transactions of the American MathematicalCotangent sheaf (891 words) [view diff] exact match in snippet view article find links to article
{\mathcal {O}}_{\mathbf {P} _{R}^{n}}\to 0.} (See also Chern class#Complex projective space.) For this notion, see § 1 of A. Beilinson and V. Drinfeld, QuantizationProjective orthogonal group (1,874 words) [view diff] exact match in snippet view article find links to article
while PU preserves a hermitian form – PU is the symmetries of complex projective space (preserving the Fubini–Study metric). In fields of characteristicRiemann–Roch theorem (4,966 words) [view diff] exact match in snippet view article find links to article
compact Riemann surface is defined by algebraic equations in some complex projective space. (Chow's Theorem says that any closed analytic subvariety of projectiveBlowing up (3,816 words) [view diff] exact match in snippet view article find links to article
x_{n}} simultaneously vanish. Let Pn - 1 be (n - 1)-dimensional complex projective space with homogeneous coordinates y 1 , … , y n {\displaystyle y_{1}Sylvester–Gallai theorem (5,249 words) [view diff] exact match in snippet view article find links to article
points of a Sylvester–Gallai configuration are embedded into a complex projective space, the points must all lie in a two-dimensional subspace. EquivalentlyAlgebraic curve (7,984 words) [view diff] exact match in snippet view article find links to article
A complex projective algebraic curve resides in n-dimensional complex projective space CPn. This has complex dimension n, but topological dimension, asMichael Atiyah (8,725 words) [view diff] exact match in snippet view article find links to article
to give a cobordism between the manifold and a sum of copies of complex projective space. He deduced from this that the intersection form must be a sumDivisor (algebraic geometry) (6,609 words) [view diff] exact match in snippet view article
smooth complete intersection variety of dimension at least 3 in complex projective space, then the Picard group of Y is isomorphic to Z, generated by theCarlos Benjamin de Lyra (2,522 words) [view diff] exact match in snippet view article find links to article
167-184. Lyra, Carlos Benjamin de (1959). "On circle bundles over complex projective space". Anais da Academia Brasileira de Ciências. Vol. 31, no. 1. p. 17-24Lorentz group (9,740 words) [view diff] exact match in snippet view article find links to article
sits on the unit sphere. From the Möbius side, SL(2, C) acts on complex projective space CP1, which can be shown to be diffeomorphic to the 2-sphere – thisSurgery exact sequence (3,121 words) [view diff] exact match in snippet view article find links to article
to n ≥ 1 {\displaystyle n\geq 1} by some ad-hoc methods.) The complex projective space C P n {\displaystyle \mathbb {C} P^{n}} is a ( 2 n ) {\displaystyleGlossary of classical algebraic geometry (11,125 words) [view diff] exact match in snippet view article find links to article
such as "circle", have their meanings tacitly changed to work in complex projective space; for example, a circle in complex algebraic geometry is a conic