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Algebraic Geometry and K-Theory

MSC2020's 14 and 19 blocks: the geometry of solution sets to polynomial equations, and the invariants K-theory builds from a ring's or a space's structure. Belongs here: algebraic geometry and algebraic K-theory. Does not belong here: differential geometry, grouped under Geometry, which studies smooth rather than polynomial-defined shapes.

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