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Higher-Dimensional Algebraic Geometry

Author: Olivier Debarre
Publisher: New York, NY : Springer New York, 2001.
Series: Universitext.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Olivier Debarre
ISBN: 9781475754063 147575406X
OCLC Number: 851753981
Description: 1 online resource (xiii, 234 pages).
Contents: Rational Curves and algebraic varieties --
Parametrizing morphisms --
"Bend-and-break" lemmas --
Uniruled and rationally connected varieties --
The rational quotient --
The cone of curves in the smooth case --
Cohomological methods.
Series Title: Universitext.
Responsibility: by Olivier Debarre.

Abstract:

The book starts with preparatory and standard definitions and results, then moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes  Read more...

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From the reviews:"This is an introductory text based on a course the author gave at Harvard University addressing the ... Mori theory. There are essentially two other texts that a student of the Read more...

 
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