Concept information
Terme préférentiel
algebraic variety
Définition
-
Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Modern definitions generalize this concept in several different ways, while attempting to preserve the geometric intuition behind the original definition.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Algebraic_variety)
Concept générique
Concepts spécifiques
- affine variety
- algebraic curve
- algebraic group
- algebraic surface
- Bombieri-Lang conjecture
- Calabi-Yau manifold
- codimension
- field of definition
- function field of an algebraic variety
- Grassmannian
- Hasse-Weil zeta function
- Hessenberg variety
- hypersurface
- intersection theory
- Krull dimension
- local zeta function
- Manin conjecture
- Mordellic variety
- projective variety
- rational point
- rational variety
- tangent cone
- toric variety
- transcendental extension
Traductions
-
français
URI
http://data.loterre.fr/ark:/67375/PSR-ZGXHSTNB-1
{{label}}
{{#each values }} {{! loop through ConceptPropertyValue objects }}
{{#if prefLabel }}
{{/if}}
{{/each}}
{{#if notation }}{{ notation }} {{/if}}{{ prefLabel }}
{{#ifDifferentLabelLang lang }} ({{ lang }}){{/ifDifferentLabelLang}}
{{#if vocabName }}
{{ vocabName }}
{{/if}}