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Algebraic Varieties: Minimal Models and Finite Generation (Cambridge Studies in Advanced Mathematics) - Hardcover
Book 141 of 151: Cambridge Studies in Advanced Mathematics
Synopsis
A self-contained introduction to minimal model theory and the finite generation theorem of the canonical ring of algebraic varieties.
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About the Author
Yujiro Kawamata is a professor at the University of Tokyo. He is the recipient of various prizes and awards, including the Mathematical Society of Japan Autumn award (1988), the Japan Academy of Sciences award (1990), ICM speaker (1990), and ISI Highly Cited Researcher (2001).
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Algebraic Varieties: Minimal Models and Finite Generation (Cambridge Studies in Advanced Mathematics)
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Algebraic Varieties: Minimal Models and Finite Generation
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Algebraic Varieties: Minimal Models and Finite Generation
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Hardback. Condition: New. 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. Seller Inventory # LU-9781009344678
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Algebraic Varieties: Minimal Models and Finite Generation (Cambridge Studies in Advanced Mathematics)
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Algebraic Varieties: Minimal Models and Finite Generation (Cambridge Studies in Advanced Mathematics)
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