Complex Algebraic Surfaces

1996/06/28 by Arnaud Beauville · 11 citations
Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Mathematics and Applications #History and Theory of Mathematics #Subject (documents) #Mathematics #Algebraic number #Sheaf #Pure mathematics #Computer science #Library science

paper · doi:10.1017/cbo9780511623936

openalex publication_date 1996/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/02

Abstract

Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch of mathematics. In this book Professor Beauville gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern topology and sheaf theory, so as to be accessible to any budding geometer. This volume is self contained and the exercises succeed both in giving the flavour of the extraordinary wealth of examples in the classical subject, and in equipping the reader with most of the techniques needed for research.

Citations

• Principles of Algebraic Geometry

Cited by

• Non-Birational Twisted Derived Equivalences in Abelian GLSMs
• Chapters on algebraic surfaces
• Classification and arithmeticity of toroidalcompactifications with 3c2=c12= 3
• A family of surfaces with and Albanese map of degree 3
• The fundamental group of a toroidal compactification of a Hermitian locally symmetric space
• Maps from K-trivial varieties and connectedness problems
• Standard isotrivial fibrations with pg=q=1
• Surfaces of general type with 𝑝_𝑔=𝑞=1,𝐾²=8 and bicanonical map of degree 2
• Fourier-Mukai Transforms in Algebraic Geometry
• Enriques–Kodaira classification [wikipedia]
• Ruled surface [wikipedia]