Algebraic Varieties: Minimal Models and Finite Generation by Kawamata, Yujiro

Algebraic Varieties: Minimal Models and Finite Generation

The finite generation theorem is a major achievement in modern algebraic geometry. Based on the minimal model...
$256.65 AUD
$256.65 AUD
SKU: 9781009344678
Product Type: Books
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Author: Yujiro Kawamata
Format: Hardcover
Language: English
Subtotal: $256.65
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Algebraic Varieties: Minimal Models and Finite Generation by Kawamata, Yujiro

Algebraic Varieties: Minimal Models and Finite Generation

$256.65

Algebraic Varieties: Minimal Models and Finite Generation

$256.65
Author: Yujiro Kawamata
Format: Hardcover
Language: English
The finite generation theorem is a major achievement in 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 0 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.

Author: Yujiro Kawamata
Publisher: Cambridge University Press
Published: 06/27/2024
Pages: 262
Binding Type: Hardcover
Weight: 1.14lbs
Size: 9.00h x 6.00w x 0.63d
ISBN: 9781009344678

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