Download E-books Higher-Dimensional Algebraic Geometry (Universitext) PDF

By Olivier Debarre

The class concept of algebraic types is the focal point of this booklet. This very energetic zone of analysis remains to be constructing, yet an grand volume of information has collected over the last 20 years. The authors objective is to supply an simply available creation to the topic. The e-book starts off with preparatory and traditional definitions and effects, then strikes directly to talk about numerous facets of the geometry of delicate projective forms with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version software of category of algebraic types via proving the cone and contraction theorems. The ebook is well-organized and the writer has saved the variety of options which are used yet no longer proved to a minimal to supply a ordinarily self-contained creation.

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