quasicoherent sheaf - traduction vers russe
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quasicoherent sheaf - traduction vers russe

FINITE-TYPE SHEAF F OF MODULES OVER A RINGED SPACE SUCH THAT THE KERNEL OF A SURJECTIVE MORPHISM FROM A FINITE DIRECT SUM OF THE STRUCTURE SHEAF ONTO IT IS ALSO OF FINITE TYPE
Coherent sheaves; Holomorphic sheaf; Quasi-coherent; Quasi-coherent sheaves; Quasicoherent sheaf; Quasicoherent; Quasi-coherent sheaf; Locally free sheaf; Locally free sheaves; Vector bundle over a ringed space; Coherent analytic sheaf; Quasi-coherent module; Algebraic vector bundle; Draft:Locally free sheaf and an algebraic vector bundle; Algebraic bundle; Resolution property; Vector bundle (algebraic geometry)

quasicoherent sheaf         

математика

квазикогерентный пучок

coherent sheaf         

математика

когерентный пучок

locally free sheaf         
локально свободный пучок

Définition

sheaf
(sheaves)
1.
A sheaf of papers is a number of them held or fastened together.
He took out a sheaf of papers and leafed through them.
N-COUNT: usu N of n
2.
A sheaf of corn or wheat is a number of corn or wheat plants that have been cut down and tied together.
N-COUNT

Wikipédia

Coherent sheaf

In mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaves are a class of sheaves closely linked to the geometric properties of the underlying space. The definition of coherent sheaves is made with reference to a sheaf of rings that codifies this geometric information.

Coherent sheaves can be seen as a generalization of vector bundles. Unlike vector bundles, they form an abelian category, and so they are closed under operations such as taking kernels, images, and cokernels. The quasi-coherent sheaves are a generalization of coherent sheaves and include the locally free sheaves of infinite rank.

Coherent sheaf cohomology is a powerful technique, in particular for studying the sections of a given coherent sheaf.

Traduction de &#39quasicoherent sheaf&#39 en Russe