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

By Olivier Debarre

The category conception of algebraic types is the focal point of this publication. This very energetic sector of study remains to be constructing, yet an awesome volume of information has collected over the last 20 years. The authors target is to supply an simply obtainable advent to the topic. The ebook starts off with preparatory and conventional definitions and effects, then strikes directly to speak about numerous features of the geometry of tender projective forms with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version application of class of algebraic types through proving the cone and contraction theorems. The ebook is well-organized and the writer has saved the variety of techniques which are used yet now not proved to a minimal to supply a quite often self-contained creation.

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