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Summary Of: Algebraic geometry

Much of the development of algebraic geometry in the 20th century occurred within an abstract algebraic framework... introduction of projective techniques made many theorems in algebraic geometry simpler and sharper... The modern approach to algebraic geometry redefines the basic objects... Some of the roots of algebraic geometry date back to the work of the... Each of these primordial developments in algebraic geometry dealt with questions of finding and describing the intersections of algebraic curves... others attempted to develop a rigorous foundation for algebraic geometry based on contemporary... While much of algebraic geometry is concerned with abstract and general statements about varieties...

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