Derived autoequivalences and a weighted Beilinson resolution
| dc.creator | Canonaco, Alberto | |
| dc.creator | Karp, Robert L. | |
| dc.date | 2006-10-27 | |
| dc.date | 2007-12-30 | |
| dc.date.accessioned | 2026-07-07T08:51:30Z | |
| dc.date.available | 2026-07-07T08:51:30Z | |
| dc.description | Given a smooth stacky Calabi-Yau hypersurface X in a weighted projective space, we consider the functor G which is the composition of the following two autoequivalences of D^b(X): the first one is induced by the spherical object O_X, while the second one is tensoring with O_X(1). The main result of the paper is that the composition of G with itself w times, where w is the sum of the weights of the weighted projective space, is isomorphic to the autoequivalence "shift by 2". The proof also involves the construction of a Beilinson type resolution of the diagonal for weighted projective spaces, viewed as smooth stacks. | |
| dc.description | 19 pages; minor modifications; accepted by J. Geom. Phys | |
| dc.identifier | https://arxiv.org/abs/math/0610848 | |
| dc.identifier | http://arxiv.org/abs/math/0610848 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144958 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 18E30, 14J32, 14A20 | |
| dc.title | Derived autoequivalences and a weighted Beilinson resolution | |
| dc.type | text |