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Algebraic Geometry II: Cohomology of Algebraic Varieties. Algebraic Surfaces (Encyclopaedia of Mathematical Sciences) (v. 2) [Hardcover]

I.R. Shafarevich (Editor, Contributor), R. Treger (Translator), V.I. Danilov (Contributor), V.A. Iskovskikh (Contributor)

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Book Description

ISBN-10: 3540546804 | ISBN-13: 978-3540546801 | Publication Date: December 21, 1995 | Edition: 1

This EMS volume consists of two parts. The first part is devoted to the exposition of the cohomology theory of algebraic varieties. The second part deals with algebraic surfaces. The authors have taken pains to present the material rigorously and coherently. The book contains numerous examples and insights on various topics.
This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.
The authors are well-known experts in the field and I.R. Shafarevich is also known for being the author of volume 11 of the Encyclopaedia.

#outer_postBodyPS { display: none; } #psGradient { display: none; } #psPlaceHolder { display: none; } #psExpand { display: none; } This EMS volume consists of two parts. The first part is devoted to the exposition of the cohomology theory of algebraic varieties. The second part deals with algebraic surfaces. The authors have taken pains to present the material rigorously and coherently. The book contains numerous examples and insights on various topics.
This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.
The authors are well-known experts in the field and I.R. Shafarevich is also known for being the author of volume 11 of the Encyclopaedia.

Product Details

Hardcover: 262 pages
Publisher: Springer; 1 edition (December 21, 1995)
Language: English
ISBN-10: 3540546804
ISBN-13: 978-3540546801
Product Dimensions: 9.3 x 5.9 x 0.8 inches
Shipping Weight: 1.2 pounds
Amazon Best Sellers Rank: #3,728,068 in Books (See Top 100 in Books)

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Inside This Book (learn more)

First Sentence:
Cohomology of Quasi-Coherent Sheaves Read the first page

Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
etale sheaves, degenerate fibers, classical cohomology, moduli variety, base change theorem, etale topology, elliptic surfaces, constructible sheaves, birational classification, affine coverings, singular fibers, weight filtration, polar divisor, proper morphism, elliptic pencil, etale morphism, etale coverings, adjunction formula, algebraic surfaces, birational equivalence, higher direct images, coherent sheaves, canonical class, exceptional curves, coherent sheaf

Key Phrases - Capitalized Phrases (CAPs): (learn more)
Berlin Heidelberg New York, Del Pezzo, Barth-Peters-Van de Ven, Lecture Notes, Itogi Nauki Tekh, Pure Math, Discussion of Theorem, Hodge-de Rham, Princeton Univ, Seminar Palaiseau

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Citations (learn more)

This book cites 47 books:

Abelian Varieties (Tata Institute of Fundamental Research, Bombay// Studies in Mathematics) by David Mumford on page 125, and Back Matter
Principles of Algebraic Geometry by Phillip Griffiths on page 123, and Back Matter
Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne on page 124, and Back Matter
Basic algebraic geometry (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berucksichtigung der Anwendungsgebiete) by I. R Shafarevich on page 125, and Back Matter
Lectures on Curves on an Algebraic Surface. (AM-59) (Annals of Mathematics Studies) by David Mumford on page 125, and Back Matter

See all 47 books this book cites

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