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Basic Algebraic Geometry 1 [electronic resource] : Varieties in Projective Space / by Igor R. Shafarevich.

By: Shafarevich, Igor R [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013Edition: 3rd ed. 2013.Description: XVIII, 310 p. 21 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642379567.Subject(s): Mathematics | Geometry, algebraic | Mathematics | Algebraic Geometry | Theoretical, Mathematical and Computational PhysicsDDC classification: 516.35 Online resources: Click here to access online
Contents:
Preface -- Book 1. Varieties in Projective Space: Chapter 1. Basic Notions -- Chapter II. Local Properties -- Chapter III. Divisors and Differential Forms -- Chapter IV. Intersection Numbers -- Algebraic Appendix -- References -- Index.
In: Springer eBooksSummary: Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction  to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.'' The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann--Roch theorem for curves, including a proof from first principles. Shafarevich's book is an attractive and accessible introduction to algebraic geometry, suitable for beginning students and nonspecialists, and the new edition is set to remain a popular introduction to the field.
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Preface -- Book 1. Varieties in Projective Space: Chapter 1. Basic Notions -- Chapter II. Local Properties -- Chapter III. Divisors and Differential Forms -- Chapter IV. Intersection Numbers -- Algebraic Appendix -- References -- Index.

Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction  to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.'' The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann--Roch theorem for curves, including a proof from first principles. Shafarevich's book is an attractive and accessible introduction to algebraic geometry, suitable for beginning students and nonspecialists, and the new edition is set to remain a popular introduction to the field.

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