Hypercomplex Varieties
| dc.creator | Verbitsky, Misha | |
| dc.date | 1997-03-12 | |
| dc.date.accessioned | 2026-07-07T09:07:13Z | |
| dc.date.available | 2026-07-07T09:07:13Z | |
| dc.description | We give a number of equivalent definitions of hypercomplex varieties and construct a twistor space for a hypercomplex variety. We prove that our definition of a hypercomplex variety (used, e. g., in alg-geom/9612013) is equivalent to a definition proposed by Deligne and Simpson, who used twistor spaces. This gives a way to define hypercomplex spaces (to allow nilpotents in the structure sheaf). We give a self-contained proof of desingularization theorem for hypercomplex varieties: a normalization of a hypercomplex variety is smooth and hypercomplex. | |
| dc.description | 40 pages LaTeX 2e | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9703016 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9703016 | |
| dc.identifier | Comm. Anal. Geom. 7 (1999), no. 2, 355--396. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150289 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Hypercomplex Varieties | |
| dc.type | text |