**Stacks Project**

by Johan de Jong, et al.

2012**Number of pages**: 3428

**Description**:

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.

Download or read it online for free here:

**Download link**

(16MB, PDF)

## Similar books

**Introduction to Algebraic Topology and Algebraic Geometry**

by

**U. Bruzzo**

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.

(

**6591**views)

**Lectures on Algebraic Groups**

by

**Alexander Kleshchev**-

**University of Oregon**

Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; etc.

(

**7601**views)

**Determinantal Rings**

by

**Winfried Bruns, Udo Vetter**-

**Springer**

Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. The book gives a coherent treatment of the structure of determinantal rings. The approach is via the theory of algebras with straightening law.

(

**6500**views)

**Abelian Varieties**

by

**J. S. Milne**

Introduction to both the geometry and the arithmetic of abelian varieties. It includes a discussion of the theorems of Honda and Tate concerning abelian varieties over finite fields and the paper of Faltings in which he proves Mordell's Conjecture.

(

**8535**views)