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Algebraic Geometry I - V.I. Danilov, V.V. Shokurov

Algebraic Geometry I

Algebraic Curves, Algebraic Manifolds and Schemes

, (Autoren)

I. Shafarevich (Herausgeber)

Buch | Hardcover
VII, 310 Seiten
1994 | 1994
Springer Berlin (Verlag)
978-3-540-51995-9 (ISBN)
CHF 269,60 inkl. MwSt
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

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.

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

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

Erscheint lt. Verlag 10.3.1994
Reihe/Serie Encyclopaedia of Mathematical Sciences
Übersetzer D. Coray, V.N. Shokurov
Zusatzinfo VII, 310 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 624 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte Algebraic Curve • algebraic curves • Algebraic Geometry • Algebraic Varieties • Algebraische Geometrie • differentiable manifold • differential equation • Dimension • Divisor • hilbert space • Integration • manifold • residue • Riemann surface • schemes • Topology • YellowSale2006 • Zariski topology
ISBN-10 3-540-51995-5 / 3540519955
ISBN-13 978-3-540-51995-9 / 9783540519959
Zustand Neuware
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