About: Constructible sheaf

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Constructible sheaf Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FConstructible_sheaf&invfp=IFP_OFF&sas=SAME_AS_OFF

In mathematics, a constructible sheaf is a sheaf of abelian groups over some topological space X, such that X is the union of a finite number of locally closed subsets on each of which the sheaf is a locally constant sheaf. It has its origins in algebraic geometry, where in étale cohomology constructible sheaves are defined in a similar way . For the derived category of constructible sheaves, see a section in ℓ-adic sheaf. The finiteness theorem in étale cohomology states that the higher direct images of a constructible sheaf are constructible.

Attributes	Values
rdfs:label	Constructible sheaf (en) Konstruerbar kärve (sv)
rdfs:comment	In mathematics, a constructible sheaf is a sheaf of abelian groups over some topological space X, such that X is the union of a finite number of locally closed subsets on each of which the sheaf is a locally constant sheaf. It has its origins in algebraic geometry, where in étale cohomology constructible sheaves are defined in a similar way . For the derived category of constructible sheaves, see a section in ℓ-adic sheaf. The finiteness theorem in étale cohomology states that the higher direct images of a constructible sheaf are constructible. (en) Inom matematiken är en konstruerbar kärve en kärve av abelska grupper över något topologiskt rum X så att X är unionen av ett ändligt antal så att kärven är en lokalt sliten kärve på alla av delmängderna. Den är en generalisering av begreppet konstruerbar topologi i klassisk algebraisk geometri. Ändlighetssatsen i étalekohomologi säger att högre direkta bilderna av konstruerbara kärven är konstruerbara. (sv)
dcterms:subject	Algebraic geometry Sheaf theory
Wikipage page ID	26131119 (xsd:integer)
Wikipage revision ID	1114047341 (xsd:integer)
Link from a Wikipage to another Wikipage	Mathematics Étale cohomology Local system Locally closed subset Algebraic geometry Finiteness theorem for a proper morphism Abelian group Algebraic geometry Sheaf theory Springer Science+Business Media Sheaf (mathematics) Topological space ℓ-adic sheaf Intersection cohomology Springer-Verlag Picard–Lefschetz formula
Link from a Wikipage to an external page	http://www.normalesup.org/~forgogozo/SGA4/tomes/tome3.pdf https://www.ma.utexas.edu/users/rhughes/TopicsInD-modules.pdf https://web.archive.org/web/20170921213130/https:/www.ma.utexas.edu/users/rhughes/TopicsInD-modules.pdf
sameAs	Constructible sheaf Constructible sheaf Constructible sheaf Constructible sheaf
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Cite_book dbt:Harv
has abstract	In mathematics, a constructible sheaf is a sheaf of abelian groups over some topological space X, such that X is the union of a finite number of locally closed subsets on each of which the sheaf is a locally constant sheaf. It has its origins in algebraic geometry, where in étale cohomology constructible sheaves are defined in a similar way . For the derived category of constructible sheaves, see a section in ℓ-adic sheaf. The finiteness theorem in étale cohomology states that the higher direct images of a constructible sheaf are constructible. (en) Inom matematiken är en konstruerbar kärve en kärve av abelska grupper över något topologiskt rum X så att X är unionen av ett ändligt antal så att kärven är en lokalt sliten kärve på alla av delmängderna. Den är en generalisering av begreppet konstruerbar topologi i klassisk algebraisk geometri. I definieras konstruerbara kärven på ett liknande sätt . En kärve av abelska grupper på ett säges vara konstruerbart om schemat har ett ändligt täcke av delscheman på vilka kärven är lokalt konstant konstruerbar (vilket betyder att den är representerad av ett étalt täcke). Konstruerbara kärven bildar en . Ändlighetssatsen i étalekohomologi säger att högre direkta bilderna av konstruerbara kärven är konstruerbara. (sv)
gold:hypernym	Sheaf
prov:wasDerivedFrom	wikipedia-en:Constructible_sheaf?oldid=1114047341&ns=0
page length (characters) of wiki page	6359 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Constructible_sheaf
is Link from a Wikipage to another Wikipage of	Intersection homology Torsion sheaf Constructibility Constructible set (topology) Étale cohomology Local system Locally constant sheaf Perverse sheaf Base change theorems Lefschetz hyperplane theorem Cohomology with compact support Mixed Hodge structure Artin–Verdier duality Grothendieck trace formula Grothendieck–Ogg–Shafarevich formula Sheaf (mathematics) Sheaf cohomology Sheaf on an algebraic stack ℓ-adic sheaf Stratified space
is foaf:primaryTopic of	wikipedia-en:Constructible_sheaf

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 67 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software