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Singularities of the Minimal Model Program, Hardcover by Kollar, Janos; Kovac...
- Item No : 365708120016
- Condition : Like New
- Brand : No brand Info
- Seller : greatbookprices1
- Current Bid : US $119.21
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* Item Description
- Singularities of the Minimal Model Program, Hardcover by Kollar, Janos; Kovacs, Sandor, ISBN 1107035341, ISBN-13 9781107035348, Like New Used, Free shipping in the US
"In 1982 Shigefumi Mori outlined a plan - now called Mori's program or the minimal model program - whose aim is to investigate geometric and cohomological questions on algebraic varieties by constructing a birational model especially suited to the study of the particular question at hand. The theory of minimal models of surfaces, developed by Castelnuovo and Enriques around 1900, is a special case of the 2-dimensional version of this plan. One reason that the higher dimensional theory took so long in coming is that, while the minimal model of a smooth surface is another smooth surface, a minimal model of a smooth higher dimensional variety is usually a singular variety. It took about a decade for algebraic geometers to understand the singularities that appear and their basic properties. Rather complete descriptions were developed in dimension 3 by Mori and Reid and some fundamental questions were solved in all dimensions"--
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