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portada Algebraic Varieties: Minimal Models and Finite Generation
Type
Physical Book
Author
Translated by
Publisher
Language
English
Pages
257
Format
Hardcover
ISBN13
9781009344678
Categories

Algebraic Varieties: Minimal Models and Finite Generation

Yujiro Kawamata (Author) · Chen Jiang (Translated by) · Cambridge University Press · Hardcover

Algebraic Varieties: Minimal Models and Finite Generation - Kawamata, Yujiro ; Jiang, Chen

New Book Imported to South Africa
Delivery: 11 Aug - 18 Aug Shipping: 2 to 2 business days.
R 1,641
R 1,641

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Synopsis "Algebraic Varieties: Minimal Models and Finite Generation"

The finite generation theorem is a major achievement of modern algebraic geometry. Based on the minimal model theory, it states that the canonical ring of an algebraic variety defined over a field of characteristic zero is a finitely generated graded ring. This graduate-level text is the first to explain this proof. It covers the progress on the minimal model theory over the last 30 years, culminating in the landmark paper on finite generation by Birkar-Cascini-Hacon-McKernan. Building up to this proof, the author presents important results and techniques that are now part of the standard toolbox of birational geometry, including Mori's bend and break method, vanishing theorems, positivity theorems and Siu's analysis on multiplier ideal sheaves. Assuming only the basics in algebraic geometry, the text keeps prerequisites to a minimum with self-contained explanations of terminology and theorems.

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