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: Introduction to Projective VarietiesIntroduction to Projective Varieties
by - 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'.
Book cover: Introduction to Algebraic GeometryIntroduction to Algebraic Geometry
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.
Book cover: Lectures on Logarithmic Algebraic GeometryLectures on Logarithmic Algebraic Geometry
by - 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.
Book cover: Homogeneous Spaces and Equivariant EmbeddingsHomogeneous Spaces and Equivariant Embeddings
by - 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.