The Resource Algebraic geometry I : algebraic curves, algebraic manifolds and schemes, I.R. Shafarevich (ed.)
Algebraic geometry I : algebraic curves, algebraic manifolds and schemes, I.R. Shafarevich (ed.)
Resource Information
The item Algebraic geometry I : algebraic curves, algebraic manifolds and schemes, I.R. Shafarevich (ed.) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Algebraic geometry I : algebraic curves, algebraic manifolds and schemes, I.R. Shafarevich (ed.) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary

 This book consists of two parts. The first is devoted to the theory of curves, which are treated from both the analytic and algebraic points of view. Starting with the basic notions of the theory of Riemann surfaces the reader is lead into an exposition covering the RiemannRoch theorem, Riemann's fundamental existence theorem, uniformization and automorphic functions
 The algebraic material also treats algebraic curves over an arbitrary field and the connection between algebraic curves and Abelian varieties. The second part is an introduction to higherdimensional algebraic geometry. The author deals with algebraic varieties, the corresponding morphisms, the theory of coherent sheaves and, finally, the theory of schemes
 This book is a very readable introduction to algebraic geometry and will be immensely useful to mathematicians working in algebraic geometry and complex analysis and especially to graduate students in these fields
 Language

 eng
 rus
 eng
 Extent
 307 pages
 Contents

 I. Riemann Surfaces and Algebraic Curves / V.V. Shokurov
 II. Algebraic Varieties and Schemes / V.I. Danilov
 Isbn
 9783540519959
 Label
 Algebraic geometry I : algebraic curves, algebraic manifolds and schemes
 Title
 Algebraic geometry I
 Title remainder
 algebraic curves, algebraic manifolds and schemes
 Statement of responsibility
 I.R. Shafarevich (ed.)
 Language

 eng
 rus
 eng
 Summary

 This book consists of two parts. The first is devoted to the theory of curves, which are treated from both the analytic and algebraic points of view. Starting with the basic notions of the theory of Riemann surfaces the reader is lead into an exposition covering the RiemannRoch theorem, Riemann's fundamental existence theorem, uniformization and automorphic functions
 The algebraic material also treats algebraic curves over an arbitrary field and the connection between algebraic curves and Abelian varieties. The second part is an introduction to higherdimensional algebraic geometry. The author deals with algebraic varieties, the corresponding morphisms, the theory of coherent sheaves and, finally, the theory of schemes
 This book is a very readable introduction to algebraic geometry and will be immensely useful to mathematicians working in algebraic geometry and complex analysis and especially to graduate students in these fields
 Cataloging source
 DLC
 http://bibfra.me/vocab/lite/collectionName
 Algebraicheskai︠a︡ geometri︠ia︡ 1
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA565
 LC item number
 .A4413 1994
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 19232017
 http://library.link/vocab/relatedWorkOrContributorName
 Shafarevich, I. R.
 Series statement
 Encyclopaedia of mathematical sciences
 Series volume
 v. 23
 http://library.link/vocab/subjectName

 Curves, Algebraic
 Manifolds (Mathematics)
 Schemes (Algebraic geometry)
 Courbes algébriques
 Variétés (Mathématiques)
 Schémas (Géométrie algébrique)
 Label
 Algebraic geometry I : algebraic curves, algebraic manifolds and schemes, I.R. Shafarevich (ed.)
 Bibliography note
 Includes bibliographical references (pages 294297) and indexes
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 I. Riemann Surfaces and Algebraic Curves / V.V. Shokurov  II. Algebraic Varieties and Schemes / V.I. Danilov
 Control code
 28257627
 Dimensions
 24 cm
 Extent
 307 pages
 Isbn
 9783540519959
 Isbn Type
 (SpringerVerlag Berlin Heidelberg New York)
 Lccn
 93004995
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 Other physical details
 illustrations
 Label
 Algebraic geometry I : algebraic curves, algebraic manifolds and schemes, I.R. Shafarevich (ed.)
 Bibliography note
 Includes bibliographical references (pages 294297) and indexes
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 I. Riemann Surfaces and Algebraic Curves / V.V. Shokurov  II. Algebraic Varieties and Schemes / V.I. Danilov
 Control code
 28257627
 Dimensions
 24 cm
 Extent
 307 pages
 Isbn
 9783540519959
 Isbn Type
 (SpringerVerlag Berlin Heidelberg New York)
 Lccn
 93004995
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 Other physical details
 illustrations
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