dc.contributor.author |
Penacchio, Olivier |
dc.contributor.author |
Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica |
dc.date |
2005 |
dc.identifier |
https://ddd.uab.cat/record/44143 |
dc.identifier |
urn:oai:ddd.uab.cat:44143 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation |
Centre de Recerca Matemàtica. Prepublicacions ; |
dc.rights |
open access |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús |
dc.rights |
https://creativecommons.org/licenses/by-nc-nd/2.5/ |
dc.subject |
Hodge, Teoria d' |
dc.subject |
Matrius (Matemàtica) |
dc.subject |
Feixos de vectors |
dc.subject |
Tor (Geometria) |
dc.title |
Mixed Hodge structures and vector bundles on the projective Plane I |
dc.type |
Article |
dc.type |
Prepublicació |
dc.description.abstract |
We describe an equivalence of categories between the category of mixed Hodge structures and a category of vector bundles on the toric complex projective plane which verify some semistability condition. We then apply this correspondence to define an invariant which generalises the notion of R-split mixed Hodge structure and compute extensions in the category of mixed Hodge structures in terms of extensions of the corresponding vector bundles. We also give a relative version of this correspondence and apply it to define stratifications of the bases of the variations of mixed Hodge structure. |