The algebraic theory of fuchsian singularties

DOI10.1090/conm/761/15315zbMath1481.14004arXiv1909.10362OpenAlexW3118533773MaRDI QIDQ4998656

Helmut Lenzing

Publication date: 9 July 2021

Published in: Advances in Representation Theory of Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.10362

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Singularities in algebraic geometry (14B05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (2)

Equivariant approach to weighted projective curves ⋮ Nakayama algebras and Fuchsian singularities

Cites Work

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• Extended canonical algebras and Fuchsian singularities.
• Algebras of automorphic forms with three generators
• Perpendicular categories with applications to representations and sheaves
• Automorphic forms and quasihomogeneous singularities
• Noncommutative projective schemes
• Wild canonical algebras
• The Poincaré series of some special quasihomogeneous surface singularities
• Beilinson resolutions on weighted projective spaces.
• The group of automorphisms of the Fermat curve
• Triangle singularities, ADE-chains, and weighted projective lines
• A Beilinson-type theorem for coherent sheaves on weighted projective spaces
• Hereditary noetherian categories of positive Euler characteristic
• Noetherian hereditary abelian categories satisfying Serre duality
• Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
• Algebras of Automorphic Forms with few Generators
• On the K-theory of weighted projective curves
• Weighted projective lines and Riemann surfaces
• Des catégories abéliennes

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