The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and Their Jacobians
暫譯: 變種與方案的紅皮書：包含1974年密西根講座（Curves and Their Jacobians）
Arbarello, E., Mumford, David
商品描述
Mumford's famous Red Book gives a simple readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduate students or mathematicians in other fields wishing to learn quickly what algebraic geometry is all about.
This new edition also includes an overview of the theory of curves, their moduli spaces and their Jacobians, one of the most exciting fields within algebraic geometry. The book is aimed at graduate students and professors seeking to learn
i) the concept of "scheme" as part of their study of algebraic geometry and
ii) an overview of moduli problems for curves and of the use of theta functions to study these.
This new edition also includes an overview of the theory of curves, their moduli spaces and their Jacobians, one of the most exciting fields within algebraic geometry. The book is aimed at graduate students and professors seeking to learn
i) the concept of "scheme" as part of their study of algebraic geometry and
ii) an overview of moduli problems for curves and of the use of theta functions to study these.
商品描述(中文翻譯)
穆恩福德著名的《紅書》提供了一個簡單易讀的代數幾何基本對象的介紹，儘可能保留其幾何特徵，並將其與交換代數的工具結合起來。這本書的目標讀者是研究生或其他領域的數學家，希望快速了解代數幾何的基本概念。
這個新版本還包括了曲線理論的概述、它們的模空間及其雅可比（Jacobian），這是代數幾何中最令人興奮的領域之一。該書旨在幫助研究生和教授學習
i) 作為代數幾何學習的一部分，了解「方案（scheme）」的概念，以及
ii) 曲線的模問題概述及使用θ函數（theta functions）來研究這些問題。
