Spectral analysis of finite dimensional algebras and singularities
arXiv:0805.1018
Abstract
We give a summary on spectral techniques for finite dimensional algebras and study its link to singularity theory. In particular, we offer a contribution to the categorification of the Milnor lattice of two-dimensional singularities through triangulated categories naturally associated with a weighted projective line.
arXiv comment42 pages to appear in "Trends in Representations of Algebras and Related Topics" (Editor: Andzej Skowronski)
References in corpus (6)
- Triangulated categories of singularities and D-branes in Landau-Ginzburg models
- Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
- On Derived Equivalences of Categories of Sheaves Over Finite Posets
- Extended canonical algebras and Fuchsian singularities
- Homological Mirror Symmetry and Simple Elliptic Singularities
- Which canonical algebras are derived equivalent to incidence algebras of posets?