Given a holomorphic self-map of complex projective space of de-gree larger than one, we prove that there exists a finite collection oftotally invariant algebraic sets with the following property: given anypositive closed (1,1)-current of mass 1 with no mass on any element of this family, the sequence of normalized pull-backs of the current converges to the Green current. Under suitable geometric conditions on the collection of totally invariant algebraic sets, we prove a sharper equidistribution result. / <p>QC 20110530</p>
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kth-34264 |
| Date | January 2011 |
| Creators | Parra, Rodrigo |
| Publisher | KTH, Matematik (Inst.), Stockholm : KTH Royal Institute of Technology |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Doctoral thesis, monograph, info:eu-repo/semantics/doctoralThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | Trita-MAT. MA, 1401-2278 ; 11:04 |
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