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Algebraic Geometry and K-Theory

Named individual objects belonging to algebraic geometry and K-theory, the branch that treats solution sets of polynomial equations as geometric objects in their own right. Belongs here: a specific, individually notable variety, scheme, curve or space studied in algebraic geometry or K-theory, such as a named projective variety, a Grassmannian or a specific elliptic curve used as a standing example across the field. Does not belong here: the branch entity Algebraic Geometry and K-Theory itself; and the general concepts and structures the field studies, such as the Algebraic Variety, the Scheme or the Sheaf, which are typed as concept rather than mathematical-object because they name a whole class of construction rather than one specific instance.

Facts
Comparison
Era Of Emergence
1650 1
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Sources
1. Algebraic Geometry (Wikipedia)
Wikimedia FoundationRenaissance section
Quote, Renaissance section
The French mathematicians Franciscus Vieta and later Rene Descartes and Pierre de Fermat revolutionized the conventional way of thinking about construction problems through the introduction of coordinate geometry.
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