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Download E-books Homology Theory on Algebraic Varieties: International Series of Monographs on Pure and Applied Mathematics (Volume 6) PDF

By Dr. Andrew H. Wallace

Concise and authoritative, this monograph is aimed at complex undergraduate and graduate scholars. the most theorems whose proofs are given the following have been first formulated by way of Lefschetz and feature due to the fact became out to be of basic significance within the topological elements of algebraic geometry. The proofs are relatively complicated and contain a large amount of aspect; for that reason, a few look in separate chapters that come with geometrical descriptions and diagrams.
The therapy starts with a quick advent and concerns of linear sections of an algebraic sort in addition to singular and hyperplane sections. next chapters discover Lefschetz's first and moment theorems with facts of the second one theorem, the Poincaré formulation and information of its evidence, and invariant and relative cycles.

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