About: Weil restriction

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

About: Weil restriction Goto Sponge NotDistinct Permalink

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

http://dbpedia.demo.openlinksw.com/c/81Sr821KuF

In mathematics, restriction of scalars (also known as "Weil restriction") is a functor which, for any finite extension of fields L/k and any algebraic variety X over L, produces another variety ResL/kX, defined over k. It is useful for reducing questions about varieties over large fields to questions about more complicated varieties over smaller fields.

Attributes	Values
rdf:type	yago:Abstraction100002137 yago:Assortment108398773 yago:Collection107951464 yago:Group100031264 yago:WikicatAlgebraicVarieties
rdfs:label	Weil restriction (en) Weil-Restriktion (de) Restriction de Weil (fr) Ограничение Вейля (ru)
rdfs:comment	En géométrie algébrique, la restriction de Weil est un -schéma, issu d'un -schéma et d'un morphisme de schémas . On s'intéresse souvent au cas où est une extension finie . La restriction porte le nom d'André Weil. (fr) In mathematics, restriction of scalars (also known as "Weil restriction") is a functor which, for any finite extension of fields L/k and any algebraic variety X over L, produces another variety ResL/kX, defined over k. It is useful for reducing questions about varieties over large fields to questions about more complicated varieties over smaller fields. (en) Ограничение скаляров (известное также как «ограничение Вейля») — это функтор, который для любого конечного расширения поля L/k и любого алгебраического многообразия X над L даёт другое многообразие ResL/kX, определённое над k. Ограничение скаляров полезно для сведения вопросов о многообразиях над большими полями к вопросам о более сложных многообразиях над меньшими полями. (ru)
dct:subject	Algebraic varieties Scheme theory
Wikipage page ID	361168 (xsd:integer)
Wikipage revision ID	1061039851 (xsd:integer)
Link from a Wikipage to another Wikipage	Birch and Swinnerton-Dyer conjecture Algebraic number field Algebraic space Algebraic stack Algebraic varieties Jacobian variety Elliptic curve cryptography Lie group Mathematics Elliptic curve Functor Tannakian category Algebraic variety Field (mathematics) Nigel Smart (cryptographer) Hyperelliptic curve Abelian variety Hodge structure Topos Scheme theory Fiber product of schemes Field extension Group scheme Scheme (mathematics) Sheaf (mathematics) Mumford–Tate group Witt vector Representable functor Right adjoint Discrete logarithm problem Weil descent
Link from a Wikipage to an external page	https://arxiv.org/abs/1011.3368 https://homes.esat.kuleuven.be/~nsmart/weil_descent.html http://math.mit.edu/~poonen/papers/Qpoints.pdf http://math.berkeley.edu/~molsson/homstackfinal.pdf
sameAs	Weil restriction Weil restriction Weil restriction Weil restriction Weil restriction Weil restriction Weil restriction
dbp:wikiPageUsesTemplate	dbt:Citation_needed
has abstract	En géométrie algébrique, la restriction de Weil est un -schéma, issu d'un -schéma et d'un morphisme de schémas . On s'intéresse souvent au cas où est une extension finie . La restriction porte le nom d'André Weil. (fr) In mathematics, restriction of scalars (also known as "Weil restriction") is a functor which, for any finite extension of fields L/k and any algebraic variety X over L, produces another variety ResL/kX, defined over k. It is useful for reducing questions about varieties over large fields to questions about more complicated varieties over smaller fields. (en) Ограничение скаляров (известное также как «ограничение Вейля») — это функтор, который для любого конечного расширения поля L/k и любого алгебраического многообразия X над L даёт другое многообразие ResL/kX, определённое над k. Ограничение скаляров полезно для сведения вопросов о многообразиях над большими полями к вопросам о более сложных многообразиях над меньшими полями. (ru)
gold:hypernym	Functor
prov:wasDerivedFrom	wikipedia-en:Weil_restriction?oldid=1061039851&ns=0
page length (characters) of wiki page	6245 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Weil_restriction
is rdfs:seeAlso of	Tensor product of modules
is Link from a Wikipage to another Wikipage of	List of algebraic geometry topics Algebraic torus Function of several complex variables André Weil Arithmetic group Functor represented by a scheme Fiber product of schemes Group scheme Change of rings Shimura variety List of things named after André Weil Moy–Prasad filtration Mumford–Tate group Restriction of scalars functor Weil descent
is Wikipage redirect of	Restriction of scalars functor Weil descent
is known for of	André Weil
is foaf:primaryTopic of	wikipedia-en:Weil_restriction

Faceted Search & Find service v1.17_git147 as of Sep 06 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3331 as of Sep 2 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 50 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software