The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active area of research today. In this book, Professor Beauville gives a lucid and concise account of the subject, expressed simply in the language of modern topology and sheaf theory, and accessible to any budding geometer. A chapter on preliminary material ensures that this volume is self-contained while the exercises succeed both in giving the flavor of the classical subject, and in equipping the reader with the techniques needed for research. The book is aimed at graduate students in geometry and topology.
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'... a lucid and concise account of the subject.' L'Enseignement Mathématique
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Text: English (translation)
Original Language: French
Original Language: French
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First Sentence:
Unless otherwise stated, we consider surfaces with their Zariski topology (the closed subsets are the algebraic subvarieties); 'sheaf' will mean 'coherent algebraic sheaf'. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
bielliptic surfaces, geometrically ruled surface, anticanonical system, smooth elliptic curve, genus formula, exceptional curve, birational maps, generic fibre, strict transform, birational morphism, connected fibres, invertible sheaves, hyperplane section, irreducible curve, surjective morphism, rational surfaces, disjoint lines, rational curve, canonical divisor, branch locus, ruled surfaces, effective divisor, complete intersection, cubic surface, complex torus Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Historical Note, Proof Recall New!
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Unless otherwise stated, we consider surfaces with their Zariski topology (the closed subsets are the algebraic subvarieties); 'sheaf' will mean 'coherent algebraic sheaf'. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
bielliptic surfaces, geometrically ruled surface, anticanonical system, smooth elliptic curve, genus formula, exceptional curve, birational maps, generic fibre, strict transform, birational morphism, connected fibres, invertible sheaves, hyperplane section, irreducible curve, surjective morphism, rational surfaces, disjoint lines, rational curve, canonical divisor, branch locus, ruled surfaces, effective divisor, complete intersection, cubic surface, complex torus Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Historical Note, Proof Recall New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 4
books:
9
books
cite this book:
See all 9 books citing this book
- Communication Theory (London Mathematical Society Student Texts) by Dr Charles M. Goldie in Front Matter
- New Trends in Algebraic Geometry (London Mathematical Society Lecture Note Series) by K. Hulek in Back Matter
- Algebraic Geometry (Dover Books on Mathematics) by Solomon Lefschetz in Back Matter
- Principles of Algebraic Geometry by Phillip Griffiths in Back Matter
- Algebraic Geometry: A Volume in Memory of Paolo Francia ([De Gruyter Proceedings in Mathematics]) by Paolo Francia on page 275, and page 286
- Introduction to Toric Varieties. (AM-131) by William Fulton in Back Matter
- Central Simple Algebras and Galois Cohomology (Cambridge Studies in Advanced Mathematics) by Philippe Gille in Back Matter
- Geometry of the Plane Cremona Maps (Lecture Notes in Mathematics) by Maria Alberich-Carraminana in Back Matter
- Geometry and Topology (Lecture Notes in Pure and Applied Mathematics) by Mccrory on page 97
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