Birational Geometry of Algebraic Varieties (Cambridge Tracts by Janos Kollár,Shigefumi Mori PDF

By Janos Kollár,Shigefumi Mori

one of many significant discoveries of the final twenty years of the 20 th century in algebraic geometry is the belief that the idea of minimum types of surfaces will be generalized to better dimensional kinds. This generalization, known as the minimum version application or Mori's software, has constructed right into a robust device with purposes to various questions in algebraic geometry and past. This booklet offers the a complete creation to the circle of principles constructed round the application, the necessities being just a uncomplicated wisdom of algebraic geometry. it will likely be of significant curiosity to graduate scholars and researchers operating in algebraic geometry and comparable fields.

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