Stacks Project Expository Collection
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Stacks Project Expository Collection
Author: Pieter Belmans
language: en
Publisher: Cambridge University Press
Release Date: 2022-10-27
The Stacks Project Expository Collection (SPEC) compiles expository articles in advanced algebraic geometry, intended to bring graduate students and researchers up to speed on recent developments in the geometry of algebraic spaces and algebraic stacks. The articles in the text make explicit in modern language many results, proofs, and examples that were previously only implicit, incomplete, or expressed in classical terms in the literature. Where applicable this is done by explicitly referring to the Stacks project for preliminary results. Topics include the construction and properties of important moduli problems in algebraic geometry (such as the Deligne–Mumford compactification of the moduli of curves, the Picard functor, or moduli of semistable vector bundles and sheaves), and arithmetic questions for fields and algebraic spaces.
Stacks Project Expository Collection (SPEC)
Author: Pieter Belmans
language: en
Publisher: Cambridge University Press
Release Date: 2022-10-27
A collection of expository articles on modern topics in algebraic geometry, focusing on the geometry of algebraic spaces and stacks.
Moduli Spaces and Vector Bundles—New Trends
Author: Peter Gothen
language: en
Publisher: American Mathematical Society
Release Date: 2024-07-18
This volume contains the proceedings of the VBAC 2022 Conference on Moduli Spaces and Vector Bundles—New Trends, held in honor of Peter Newstead's 80th birthday, from July 25–29, 2022, at the University of Warwick, Coventry, United Kingdom. The papers focus on the theory of stability conditions in derived categories, non-reductive geometric invariant theory, Brill-Noether theory, and Higgs bundles and character varieties. The volume includes both survey and original research articles. Most articles contain substantial background and will be helpful to both novices and experts.