Stacks Project by Johan de Jong, et al.

Stacks Project

Number of pages: 3428

An open source textbook on algebraic stacks and the algebraic geometry that is needed to define them. The Stacks Project builds the foundations starting with commutative algebra and proceeding via the theory of schemes and algebraic spaces to a comprehensive foundation for the theory of algebraic stacks.

Home page url

Download or read it online for free here:
Download link
(16MB, PDF)

Similar books

Book cover: Convex Bodies and Algebraic GeometryConvex Bodies and Algebraic Geometry
by - Springer
The theory of toric varieties describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interesting applications ...
Book cover: Introduction to Algebraic Topology and Algebraic GeometryIntroduction to Algebraic Topology and Algebraic Geometry
Introduction to algebraic geometry for students with an education in theoretical physics, to help them to master the basic algebraic geometric tools necessary for algebraically integrable systems and the geometry of quantum field and string theory.
Book cover: Introduction To Algebraical GeometryIntroduction To Algebraical Geometry
by - Oxford University Press
The author's aim has been to produce a book suitable to the beginner who wishes to acquire a sound knowledge of the more elementary parts of the subject, and also sufficient for the candidate for a mathematical scholarship.
Book cover: Lectures On Old And New Results On Algebraic CurvesLectures On Old And New Results On Algebraic Curves
by - Tata Institute Of Fundamental Research
The aim of this text is to give a proof, due to Hans Grauert, of an analogue of Mordell's conjecture. Contents: Introduction; Algebro-Geometric Background; Algebraic Curves; The Theorem of Grauert (Mordell's conjecture for function fields).