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Original Essays | September 15, 2014

Lois Leveen: IMG Forsooth Me Not: Shakespeare, Juliet, Her Nurse, and a Novel



There's this writer, William Shakespeare. Perhaps you've heard of him. He wrote this play, Romeo and Juliet. Maybe you've heard of it as well. It's... Continue »
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    Juliet's Nurse

    Lois Leveen 9781476757445

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25 Remote Warehouse Mathematics- Algebraic Geometry

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Algebraic Surfaces (Universitext)

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Algebraic Surfaces (Universitext) Cover

 

Synopses & Reviews

Publisher Comments:

The main aim of this book is to present a completely algebraic approach to the Enriques¿ classification of smooth projective surfaces defined over an algebraically closed field of arbitrary characteristic. This algebraic approach is one of the novelties of this book among the other modern textbooks devoted to this subject. Two chapters on surface singularities are also included. The book can be useful as a textbook for a graduate course on surfaces, for researchers or graduate students in algebraic geometry, as well as those mathematicians working in algebraic geometry or related fields.

Synopsis:

This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces. In fact, the classification of surfaces is the main scope of this book and the author presents the approach developed by Mumford and Bombieri. Chapters also cover the Zariski decomposition of effective divisors and graded algebras.

Description:

Includes bibliographical references (p. [247]-255) and index.

Table of Contents

* Intersection Theory and the Nakai-Moishezon Criterion * The Hodge Index Theorem and the Intersection Matrix of a Fiber * Criteria of Contractability and Rational Singularities * Properties of Rational Singularities * Noether's Formula, Picard Scheme, Albanese Variety, and Plurigenera * Existence of Minimal Models * Morphisms to a Curve, Elliptic and Quasielliptic Fibrations * Canonical Dimension of an Elliptic or Quasielliptic Fibration * The Classification Theorem According to Canonical Dimension * Surfaces with Canonical Dimension Zero (char(k)=/2,3) * Ruled Surfaces. The Noether-Tsen Criterion * Minimal Models of Ruled Surfaces * The Zariski decomposition and applications * Appendix: Further reading

Product Details

ISBN:
9780387986685
Author:
Badescu, Lucian
Author:
Masek, Vladimir
Translator:
Masek, V.
Author:
Badescu, L.
Author:
Masek, V.
Publisher:
Springer
Location:
New York, NY
Subject:
General
Subject:
Reference
Subject:
Geometry - Algebraic
Subject:
Surfaces, algebraic
Subject:
Mathematics-Algebraic Geometry
Subject:
Algebraic surfaces
Subject:
Algebraic Geometry
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Description:
Book
Series:
Universitext
Series Volume:
1509
Publication Date:
20010208
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
270
Dimensions:
235 x 155 mm 1250 gr

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Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
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Science and Mathematics » Mathematics » Geometry » Algebraic Geometry

Algebraic Surfaces (Universitext) New Hardcover
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$77.50 In Stock
Product details 270 pages Springer-Verlag - English 9780387986685 Reviews:
"Synopsis" by , This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces. In fact, the classification of surfaces is the main scope of this book and the author presents the approach developed by Mumford and Bombieri. Chapters also cover the Zariski decomposition of effective divisors and graded algebras.
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