Download E-books Algebraic Geometry (Dover Books on Mathematics) PDF

By Solomon Lefschetz

This textual content for complicated undergraduate scholars is either an advent to algebraic geometry and a bridge among its components — the analytical-topological and the algebraic. as a result of its vast use of formal strength sequence (power sequence with no convergency), the therapy will attract readers conversant with research yet much less conversant in the ambitious recommendations of contemporary algebra.
The booklet opens with an summary of the implications required from algebra and proceeds to the basic techniques of the final idea of algebraic kinds: common aspect, measurement, functionality box, rational differences, and correspondences. A focused bankruptcy on formal energy sequence with functions to algebraic kinds follows. an intensive survey of algebraic curves comprises areas, linear sequence, abelian differentials, and algebraic correspondences. The textual content concludes with an exam of platforms of curves on a surface.

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