Basic Algebraic Geometry 1

Band I von Basic Algebraic Geometry ist eine überarbeitete und wesentlich erweiterte Fassung der ersten vier Kapitel von Shafarevichs weit verbreitetem einführenden Buch zur algebraischen Geometrie. Das Buch wendet sich an Mathematikstudenten zu Beginn des Hauptstudiums und an Studenten der theoretischen Physik, die algebraische Geometrie lernen wollen.

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Basic Algebraic Geometry, Volume I, is a revised and expanded new edition of the first four chapters of Shafarevich's well-known introductory book on algebraic geometry. The author has added plenty of new, mostly concrete geometrical material like Grassmannian varieties, plane cubic curves, the cubic surface, degenerations of quadrics and elliptic curves, the Bertini theorems, normal surface singularities. There are also some new number-theoretical applications. Shafarevich succeeds in making algebraic geometry accessible to non-specialists and beginners and his two-volume book will remain one of the most popular introductions to this field. The book is suitable for third-year undergraduates in mathematics and also for students of theoretical physics.