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＜電子ブック＞
Higher-Dimensional Algebraic Geometry / by Olivier Debarre
(Universitext. ISSN:21916675)

版	1st ed. 2001.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	2001
本文言語	英語
大きさ	XIII, 234 p. 11 illus : online resource
冊子体	Higher-dimensional algebraic geometry / Olivier Debarre
著者標目	*Debarre, Olivier author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry FREE:Algebraic Geometry
一般注記	1 Curves and Divisors on Algebraic Varieties -- 2 Parametrizing Morphisms -- 3 “Bend-and-Break” Lemmas -- 4 Uniruled and Rationally Connected Varieties -- 5 The Rational Quotient -- 6 The Cone of Curves in the Smooth Case -- 7 Cohomological Methods -- References Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The author's goal is to provide an easily accessible introduction to the subject. The book covers in the beginning preparatory and standard definitions and results, moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Mori's minimal model program of classification of algebraic varieties by proving the cone and contraction theorems. The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction to graduate students and researchers Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4757-5406-3

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