**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

**Multiplication of Vectors and Structure of 3D Euclidean Space**

by

**Miroslav Josipovic**-

**viXra**

This text is a motivational survey of geometric algebra in 3D. The intention here was to use simple examples and reader is referred to the independent problem solving. The active reading of text is recommended, with paper and pencil in hand.

(

**1768**views)

**From D-modules to Deformation Quantization Modules**

by

**Pierre Schapira**-

**UPMC**

The aim of these lecture notes is first to introduce the reader to the theory of D-modules in the analytical setting and also to make a link with the theory of deformation quantization (DQ for short) in the complex setting.

(

**3431**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.

(

**6415**views)

**Algebraic Curves: an Introduction to Algebraic Geometry**

by

**William Fulton**-

**Benjamin**

These notes develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. It assumed that the reader is familiar with some basic properties of rings, ideals, and polynomials.

(

**10815**views)