Giving a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties, this book will become a standard reference for anyone interested in higher-dimensional questions in algebraic geometry, analytic geometry and number theory.
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János Kollár is Professor of Mathematics and Donner Professor of Science at Princeton University. He has authored about 100 research papers and six books on algebraic geometry.
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Hardcover. Condición: new. Hardcover. This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and conversely, the sharpest theorems about these singularities use newly developed special cases of the abundance problem. This book untangles these interwoven threads, presenting a self-contained and complete theory of these singularities, including many previously unpublished results. Giving a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties, this book will become a standard reference for anyone interested in higher-dimensional questions in algebraic geometry, analytic geometry and number theory. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9781107035348
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Hardcover. Condición: Brand New. 376 pages. 9.06x6.22x0.94 inches. In Stock. This item is printed on demand. Nº de ref. del artículo: __1107035341
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Condición: New. An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program. Series: Cambridge Tracts in Mathematics. Num Pages: 382 pages, black & white illustrations. BIC Classification: PBMW. Category: (U) Tertiary Education (US: College). Dimension: 235 x 159 x 24. Weight in Grams: 652. . 2013. Hardback. . . . . Nº de ref. del artículo: V9781107035348
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