Equivariant approach to weighted projective curves

DOI10.1016/j.jalgebra.2022.05.032OpenAlexW3155498445MaRDI QIDQ2161154

Hongxia Zhang, Qiang Dong, Shi Quan Ruan

Publication date: 4 August 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09086

zbMATH Keywords

group actioncoherent sheafequivariantizationweighted projective lineweighted projective curve

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Compact Riemann surfaces and uniformization (30F10) Graded rings and modules (associative rings and algebras) (16W50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weighted projective lines of tubular type and equivariantization
• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Extended canonical algebras and Fuchsian singularities.
• Classical tessellations and three-manifolds
• Kac's theorem for weighted projective lines
• The Hall algebra approach to Drinfeld's presentation of quantum loop algebras
• Faisceaux algébriques cohérents
• Tame algebras and integral quadratic forms
• Skew group algebras in the representation theory of Artin algebras
• McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities
• On braided fusion categories. I
• Algebras of automorphic forms with three generators
• Automorphic forms and quasihomogeneous singularities
• Brieskorn complete intersections and automorphic forms
• Action of the braid group on a category
• The Poincaré series of some special quasihomogeneous surface singularities
• Equivariantization and Serre duality. I
• Rings of singularities
• Exceptional sequences for canonical algebras
• Mirror symmetry for lattice polarized \(K3\) surfaces
• The braid group action for exceptional curves.
• Noncommutative projective curves and quantum loop algebras
• The dual actions, equivariant autoequivalences and stable tilting objects
• Skew group algebras of path algebras and preprojective algebras.
• Hereditary noetherian categories of positive Euler characteristic
• Strange duality of weighted homogeneous polynomials
• Monadicity Theorem and Weighted Projective Lines of Tubular Type
• Algebras of Automorphic Forms with few Generators
• Knots, Groups and 3-Manifolds (AM-84)
• Elliptic Curves
• The automorphism group of the derived category for a weighted projective line
• The algebraic theory of fuchsian singularties
• Applications of Mutations in the Derived Categories of Weighted Projective Lines to Lie and Quantum Algebras
• Weighted projective lines and Riemann surfaces
• Mirror Symmetry between Orbifold Curves and Cusp Singularities with Group Action
• Invariant subspaces of nilpotent linear operators, I