**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 Projective Varieties**

by

**Enrique Arrondo**-

**Universidad Complutense de Madrid**

The scope of these notes is to present a soft and practical introduction to algebraic geometry, i.e. with very few algebraic requirements but arriving soon to deep results and concrete examples that can be obtained 'by hand'.

(

**9510**views)

**Introduction to Algebraic Geometry**

by

**Yuriy Drozd**

From the table of contents: Affine Varieties; Ideals and varieties. Hilbert's Basis Theorem. Regular functions and regular mappings. Projective and Abstract Varieties; Dimension Theory; Regular and singular points; Intersection theory.

(

**11442**views)

**Lectures on Logarithmic Algebraic Geometry**

by

**Arthur Ogus**-

**University of California, Berkeley**

Logarithmic geometry deals with two problems in algebraic geometry: compactification and degeneration. Contents: The geometry of monoids; Log structures and charts; Morphisms of log schemes; Differentials and smoothness; De Rham and Betti cohomology.

(

**13011**views)

**Homogeneous Spaces and Equivariant Embeddings**

by

**Dmitri A. Timashev**-

**arXiv**

A monograph on homogeneous spaces of algebraic groups and their equivariant embeddings. Some results are supplied with proofs, the other are cited with references to the original papers. The style is intermediate between survey and detailed monograph.

(

**11268**views)