dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Wildeshaus, Jörg |
dc.date.accessioned |
2007-11-29T17:11:17Z |
dc.date.available |
2007-11-29T17:11:17Z |
dc.date.created |
2007-08 |
dc.date.issued |
2007-08 |
dc.identifier.uri |
http://hdl.handle.net/2072/4787 |
dc.format.extent |
39 |
dc.format.extent |
345435 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;758 |
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 (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Homologia, Teoria d' |
dc.subject.other |
Intersecció, Teoria d' |
dc.title |
Pure motives, mixed motives and extensions of motives associated to singular surfaces |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
515.1 - Topologia |
dc.description.abstract |
We first recall the construction of the Chow motive modelling intersection cohomology of a proper surface X and study its fundamental properties. Using Voevodsky's category of effective geometrical motives, we then study the motive of the exceptional divisor D in a non-singular blow-up of X. If all geometric irreducible components of D are of genus zero, then Voevodsky's formalism allows us to
construct certain one-extensions of Chow motives, as canonical subquotients of the motive with compact support of the smooth part of X. Specializing to Hilbert-Blumenthal surfaces, we recover a motivic interpretation of a recent construction of A. Caspar. |