Principles Of Algebraic Geometry
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Principles of Algebraic Geometry
Author: Phillip Griffiths
language: en
Publisher: John Wiley & Sons
Release Date: 2014-08-21
A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.
An Invitation to Algebraic Geometry
Author: Karen E. Smith
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-09
The aim of this book is to describe the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.
Complex Geometry
Author: Daniel Huybrechts
language: en
Publisher: Springer Science & Business Media
Release Date: 2005
Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)