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London Mathematical Society Lecture Note Ser.: Stacks Project Expository Collection by Wei Ho (2022, Trade Paperback)
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Stacks Project Expository Collection, Paperback by Belmans, Pieter (EDT); Ho, Wei (EDT); De Jong, Aise Johan (EDT), ISBN 1009054856, ISBN-13 9781009054850, Brand New, Free shipping in the US
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-101009054856
ISBN-139781009054850
eBay Product ID (ePID)13057243368
Product Key Features
Number of Pages250 Pages
Publication NameStacks Project Expository Collection
LanguageEnglish
SubjectTopology
Publication Year2022
FeaturesNew Edition
TypeTextbook
Subject AreaMathematics
AuthorWei Ho
SeriesLondon Mathematical Society Lecture Note Ser.
FormatTrade Paperback
Dimensions
Item Height0.7 in
Item Length9 in
Item Width6 in
Additional Product Features
Dewey Edition23
IllustratedYes
Dewey Decimal516.35
Edition DescriptionNew Edition
Table Of ContentList of contributors; Preface; 1. Projectivity of the moduli of curves Raymond Cheng, Carl Lian and Takumi Murayama; 2. The stack of admissible covers is algebraic Elsa Corniani, Neeraj Deshmukh, Brett Nasserden, Emanuel Reinecke, Nawaz Sultani and Rachel Webb; 3. Projectivity of the moduli space of vector bundles on a curve Jarod Alper, Pieter Belmans, Daniel Bragg, Jason Liang and Tuomas Tajakka; 4. Boundedness of semistable sheaves Haoyang Guo, Sanal Shivaprasad, Dylan Spence and Yueqiao Wu; 5. Theorem of the Base Raymond Cheng, Lena Ji, Matt Larson and Noah Olander; 6. Weil restriction for schemes and beyond Lena Ji, Shizhang Li, Patrick McFaddin, Drew Moore and Matthew Stevenson; 7. Heights over finitely generated fields Stephen McKean and Soumya Sankar; 8. An explicit self-duality Nikolas Kuhn, Devlin Mallory, Vaidehee Thatte and Kirsten Wickelgren; 9. Tannakian reconstruction of coalgebroids Yifei Zhao.
SynopsisThe 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., SPEC collects expository articles on the geometry of algebraic spaces and stacks. The articles bring researchers up to speed on recent developments and include detailed accounts in modern language of many results previously unavailable or only implicit in the literature, and where applicable use the Stacks project for preliminary material.
LC Classification NumberQA564
