Picard groups in triangular geometry and applications to modular representation theory

DOI10.1090/S0002-9947-10-04949-4zbMath1204.18004MaRDI QIDQ3574789

Paul Balmer

Publication date: 2 July 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

triangulated categoryPicard groupgluingsupport variety

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Torsion-free endotrivial modules. ⋮ Endotrivial modules for finite group schemes ⋮ Spectra, spectra, spectra -- tensor triangular spectra versus Zariski spectra of endomorphism rings ⋮ Equivariant stable categories for incomplete systems of transfers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The classification of endo-trivial modules.
• On group homomorphisms inducing mod-\(p\) cohomology isomorphisms
• Support varieties: an ideal approach
• Gluing representations via idempotent modules and constructing endotrivial modules.
• The connection between May's axioms for a triangulated tensor product and Happel's description of the derived category of the quiver \(D_4\)
• Presheaves of triangulated categories and reconstruction of schemes
• On a theorem of Mislin.
• Constructing endotrivial modules.
• The classification of torsion endo-trivial modules.
• Une extension de la théorie de Hall et Higman
• A construction of endo-permutation modules
• Endotrivial modules for the symmetric and alternating groups
• Supports and filtrations in algebraic geometry and modular representation theory
• GLUING TECHNIQUES IN TRIANGULAR GEOMETRY
• The spectrum of prime ideals in tensor triangulated categories
• Torsion endo-trivial modules
• Idempotent completion of triangulated categories