Stacks Project Expository Collection

The Stacks Project Expository Collection, known as SPEC, compiles expository articles in advanced algebraic geometry. It is meant for graduate students and working researchers who want to catch up with recent progress on algebraic spaces and algebraic stacks.

The articles restate many results, proofs and examples in modern language. Many of these were previously only implicit, incomplete or written in classical terms. Where it helps, the articles refer to the Stacks Project for preliminary results.

Subjects include the compactification of curve moduli spaces due to Deligne and Mumford, the Picard functor, and moduli of semistable vector bundles and sheaves. Arithmetic questions for fields and algebraic spaces are also covered. It is published by Cambridge University Press, ISBN-13 9781009054850.