Stacks Project Expository Collection (eBook, PDF)

Redaktion: Belmans, Pieter; Jong, Aise Johan de; Ho, Wei

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 27. Oktober 2022
• Englisch
• ISBN-13: 9781009063289
• Artikelnr.: 70910724

Inhaltsangabe

List 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.