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étymologie

quasiinvertible sheaf - traduction vers russe

MATHEMATICAL OBJECT IN SHEAF COHOMOLOGY

Flasque resolution; Flabby sheaf; Flabby resolution; Soft sheaf; Fine sheaf; Acyclic sheaf; Flasque sheaf; Flasque sheaves

quasiinvertible sheaf

математика

квазиобратимый пучок

global section

COLLECTION OF OBJECTS ASSOCIATED TO SUBSETS OF A SPACE IN A MANNER ADMITTING GLUING AND RESTRICTION

Presheaf; Sheaf space; Etale space; Étale space; Sheaf theory; Global section functor; Espace étalé; Section of a sheaf; Morphism of sheaves; Pre-sheaf; Espace etale; Presheaf (mathematics); Section (sheaf theory); Sheaf of abelian groups; Étalé space; Presheaves; Global sections functor; Skyscraper sheaf; Sheaf Theory; Monopresheaf; Separated presheaf; Global section; Complex of sheaves; Sheaf of sets; Quotient sheaf; Draft:Sheaf of sets; Space of sections; Sheaf hom

математика

глобальное сечение

presheaves

COLLECTION OF OBJECTS ASSOCIATED TO SUBSETS OF A SPACE IN A MANNER ADMITTING GLUING AND RESTRICTION

Presheaf; Sheaf space; Etale space; Étale space; Sheaf theory; Global section functor; Espace étalé; Section of a sheaf; Morphism of sheaves; Pre-sheaf; Espace etale; Presheaf (mathematics); Section (sheaf theory); Sheaf of abelian groups; Étalé space; Presheaves; Global sections functor; Skyscraper sheaf; Sheaf Theory; Monopresheaf; Separated presheaf; Global section; Complex of sheaves; Sheaf of sets; Quotient sheaf; Draft:Sheaf of sets; Space of sections; Sheaf hom

множественное число

от presheaf

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

Afficher plus de définitions

Wikipédia

Injective sheaf

In mathematics, injective sheaves of abelian groups are used to construct the resolutions needed to define sheaf cohomology (and other derived functors, such as sheaf Ext).

There is a further group of related concepts applied to sheaves: flabby (flasque in French), fine, soft (mou in French), acyclic. In the history of the subject they were introduced before the 1957 "Tohoku paper" of Alexander Grothendieck, which showed that the abelian category notion of injective object sufficed to found the theory. The other classes of sheaves are historically older notions. The abstract framework for defining cohomology and derived functors does not need them. However, in most concrete situations, resolutions by acyclic sheaves are often easier to construct. Acyclic sheaves therefore serve for computational purposes, for example the Leray spectral sequence.

https://en.wikipedia.org/wiki/Injective sheaf

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