Name: Open Algebraic Surfaces (en Inglés)
SKU: 67464605
Price: 150.08 USD
Availability: InStock
Author: Masayoshi Miyanishi

portada Open Algebraic Surfaces (en Inglés)

Formato

Libro Físico

Editorial

American Mathematical Society

Autor

Masayoshi Miyanishi

Colección

CRM Monograph Series

Año

2000

Idioma

Inglés

N° páginas

259

Encuadernación

Tapa Dura

ISBN13

9780821805046

Open Algebraic Surfaces (en Inglés)

Masayoshi Miyanishi (Autor) · American Mathematical Society · Tapa Dura

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Reseña del libro "Open Algebraic Surfaces (en Inglés)"

Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. This book contains an account of the theory of open algebraic surfaces, as well as several applications, in particular to the study of affine surfaces.

Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. There is a long history of research on projective algebraic surfaces, and there exists a beautiful Enriques-Kodaira classification of such surfaces. The research accumulated by Ramanujan, Abhyankar, Moh, and Nagata and others has established a classification theory of open algebraic surfaces comparable to the Enriques-Kodaira theory. This research provides powerful methods to study the geometry and topology of open algebraic surfaces. The theory of open algebraic surfaces is applicable not only to algebraic geometry, but also to other fields, such as commutative algebra, invariant theory, and singularities.This book contains a comprehensive account of the theory of open algebraic surfaces, as well as several applications, in particular to the study of affine surfaces. Prerequisite to understanding the text is a basic background in algebraic geometry. This volume is a continuation of the work presented in the author's previous publication, ""Algebraic Geometry, Volume 136"" in the AMS series, ""Translations of Mathematical Monographs"".