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Classification of Algebraic Varieties

Classification of Algebraic Varieties
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Title Classification of Algebraic Varieties ([EBook] /) / Carel Faber, Gerard van der Geer, Eduard Looijenga
Added Personal Name Faber, Carel
van der Geer, Gerard
Looijenga, Eduard
Publication Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2010
Physical Details 1 online resource (346 pages)
Series EMS Series of Congress Reports (ECR) 2523-515X
ISBN 9783037195079
Summary Note Fascinating and surprising developments are taking place in the classification of algebraic varieties. Work of Hacon and McKernan and many others is causing a wave of breakthroughs in the Minimal Model Program: we now know that for a smooth projective variety the canonical ring is finitely generated. These new results and methods are reshaping the field. Inspired by this exciting progress, the editors organized a meeting at Schiermonnikoog and invited leading experts to write papers about the recent developments. The result is the present volume, a lively testimony of the sudden advances that originate from these new ideas. This volume will be of interest to a wide range of pure mathematicians, but will appeal especially to algebraic and analytic geometers.:
Contents note Stable varieties with a twist /: Basic properties of log canonical centers /: Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces /: Minimal models, flips and finite generation: a tribute to V.V. Shokurov and Y.-T. Siu /: Remarks on an example of K. Ueno /: Special orbifolds and birational classification: a survey /: Birational geometry of threefolds /: Emptiness of homogeneous linear systems with ten general base points /: Finite generation of adjoint rings after Lazic: an introduction /: Log canonical thresholds on varieties with bounded singularities /: Brill–Noether geometry on moduli spaces of spin curves /: On the bimeromorphic geometry of compact complex contact threefolds /: Introduction to the theory of quasi-log varieties /: On Kawamata’s theorem /: Remarks on the cone of divisors /: p-elementary subgroups of the Cremona group of rank 3 /:
Mode of acces to digital resource Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.4171/007
See Also https://www.ems-ph.org/img/books/faber_mini.jpg
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