Titlebook: Algebraic Varieties; Mario Baldassarri Book 1956 Springer-Verlag Berlin Heidelberg 1956 Abstract algebra.Mathematica.algebra.algebraic geo

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Lawrence P. Carr,Alfred J. Nanni JrWe begin with this chapter the transcendental and topological treatment of algebraic varieties defined over the complex field, omitting the more familiar part of this subject which one may find in well-known treatises {see . [a]; . [a]; . [a]; . [a]; . [c]; moreover see the works: . [1, 2]; . [1]; . [1, 2]; . [1]; . [1]; . [10]}.

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Algebraic and Rational Equivalence,We proceed to give an account of the theory of algebraic systems and of the related notions of algebraic and rational equivalence: these are chiefly based on the theory of . . ., whose definition, therefore, will be briefly recalled.

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Theory and Applications of the Canonical Systems,If the theory of rational equivalence resembled more closely that of linear equivalence, then the algebraic geometry of the higher dimensional varieties would probably be as simple as the classical geometry of curves. But such a simplification, if indeed attainable, is still a distant goal.