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Abhyankar's conjecture

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Abhyankar's conjecture, proposed by the mathematician Shreeram S. Abhyankar in the 1960s, is a conjecture in the field of algebraic geometry, specifically related to the theory of algebraic surfaces and their rational points. The conjecture primarily deals with the growth of the functions associated with the algebraic curves defined over algebraically closed fields and involves questions about the intersections and the number of points of these curves.

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