LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Higher-Dimensional Algebraic Geometry ([EBook] /) / by Olivier Debarre.
Author	Debarre, Olivier
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York : : Imprint: Springer, , 2001.
Physical Details	XIII, 234 p. 11 illus. : online resource.
Series	Universitext 0172-5939
ISBN	9781475754063
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4757-5406-3
Links to Related Works	Subject References: Algebraic Geometry . Mathematics . Authors: Debarre, Olivier . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 516.35 .

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Higher-Dimensional Algebraic Geometry

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