Open conjectures at the intersection of algebra and geometry, about the solution sets of polynomial equations. Belongs here: unproved algebraic-geometric claims such as the Hodge conjecture. Does not belong here: general algebra or geometry conjectures that do not turn on a polynomial variety.
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Era Of Emergence All Algebraic Geometry
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1. Algebraic Geometry (Wikipedia)
Wikimedia FoundationRenaissance sectionQuote, 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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