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Algebraic Geometry I: Algebraic Curves, Algebraic Manifolds and Schemes de V.I. Danilov

Algebraic Geometry I: Algebraic Curves, Algebraic Manifolds and Schemes: Encyclopaedia of Mathematical Sciences, cartea 23

Autor V.I. Danilov Editat de I. Shafarevich Traducere de D. Coray Autor V.V. Shokurov Traducere de V.N. Shokurov
en Limba Engleză Hardback – 10 mar 1994
From the reviews: "This volume... consists of two papers. The first, written by V.V. Shokurov, is devoted to the theory of Riemann surfaces and algebraic curves. It is an excellent overview of the theory of relations between Riemann surfaces and their models - complex algebraic curves in complex projective spaces. ... The second paper, written by V.I. Danilov, discusses algebraic varieties and schemes. ... I can recommend the book as a very good introduction to the basic algebraic geometry." European Mathematical Society Newsletter, 1996
"... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." Acta Scientiarum Mathematicarum
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Specificații

ISBN-13: 9783540519959
ISBN-10: 3540519955
Pagini: 307
Ilustrații: VII, 310 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.63 kg
Ediția:1994
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Encyclopaedia of Mathematical Sciences

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

I. Riemann Surfaces and Algebraic Curves.- 1. Riemann Surfaces.- 2. Algebraic Curves.- 3. Jacobians and Abelian Varieties.- II. Algebraic Varieties and Schemes.- 1. Algebraic Varieties: Basic Notions.- 2. Algebraic Varieties: Fundamental Properties.- 3. Geometry on an Algebraic Variety.- 4. Schemes.- References.- References.

Recenzii

From the reviews: "This volume... consists of two papers. The first, written by V.V. Shokurov, is devoted to the theory of Riemann surfaces and algebraic curves. It is an excellent overview of the theory of relations between Riemann surfaces and their models - complex algebraic curves in complex projective spaces. ... The second paper, written by V.I. Danilov, discusses algebraic varieties and schemes. ... I can recommend the book as a very good introduction to the basic algebraic geometry." European Mathematical Society Newsletter, 1996 "... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." Acta Scientiarum Mathematicarum

Textul de pe ultima copertă

From the reviews of the first printing, published as volume 23 of the Encyclopaedia of Mathematical Sciences:
"This volume... consists of two papers. The first, written by V.V.Shokurov, is devoted to the theory of Riemann surfaces and algebraic curves. It is an excellent overview of the theory of relations between Riemann surfaces and their models - complex algebraic curves in complex projective spaces. ... The second paper, written by V.I.Danilov, discusses algebraic varieties and schemes. ...
I can recommend the book as a very good introduction to the basic algebraic geometry."
European Mathematical Society Newsletter, 1996

"... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics."
Acta Scientiarum Mathematicarum, 1994

Caracteristici

The traditionally difficult field of algebraic geometry is covered in a readable and pedagogically excellent way by this introductory book.