Mixed twistor structures
| dc.creator | Simpson, Carlos | |
| dc.date | 1997-05-05 | |
| dc.date.accessioned | 2026-07-07T09:07:17Z | |
| dc.date.available | 2026-07-07T09:07:17Z | |
| dc.description | The purpose of this paper is to introduce the notion of mixed twistor structure, a generalization of the notion of mixed Hodge structure. The utility of this notion is to make possible a theory of weights for various things surrounding arbitrary representations of the fundamental group of a smooth projective variety. We give some examples of generalizations of classical results for variations of mixed Hodge structure, to the twistor setting. This supports a ``meta-theorem'' (which we state but don't prove) that one can everywhere replace the word ``Hodge'' by the word ``twistor''. We show that the jet spaces of hyperkähler or more generally hypercomplex manifolds have natural mixed twistor structures which determine the hypercomplex structure in a formal neighborhood of a point. | |
| dc.description | LaTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9705006 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9705006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150316 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Mixed twistor structures | |
| dc.type | text |