Triangulated categories of matrix factorizations for regular systems of weights with $ε=-1$
| dc.creator | Kajiura, Hiroshige | |
| dc.creator | Saito, Kyoji | |
| dc.creator | Takahashi, Atsushi | |
| dc.date | 2007-08-01 | |
| dc.date.accessioned | 2026-07-07T08:21:45Z | |
| dc.date.available | 2026-07-07T08:21:45Z | |
| dc.description | We construct a full strongly exceptional collection in the triangulated category of graded matrix factorizations of a polynomial associated to a non-degenerate regular system of weights whose smallest exponents are equal to -1. In the associated Grothendieck group, the strongly exceptional collection defines a root basis of a generalized root system of sign (l,0,2) and a Coxeter element of finite order, whose primitive eigenvector is a regular element in the expanded symmetric domain of type IV with respect to the Weyl group. | |
| dc.description | 57 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0708.0210 | |
| dc.identifier | http://arxiv.org/abs/0708.0210 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135422 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Triangulated categories of matrix factorizations for regular systems of weights with $ε=-1$ | |
| dc.type | text |