On accumulation points of volumes of stable surfaces with one cyclic quotient singularity
dc.contributor.advisor | Urzúa Elia, Giancarlo A. | |
dc.contributor.author | Torres Valencia, Diana Carolina | |
dc.contributor.other | Pontificia Universidad Católica de Chile. Facultad de Matemáticas | |
dc.date | 2021-07-31 | |
dc.date.accessioned | 2021-07-30T13:54:43Z | |
dc.date.issued | 2021 | |
dc.date.updated | 2021-07-29T20:06:43Z | |
dc.description | Tesis (Doctor en Matemática)--Pontificia Universidad Católica de Chile, 2021 | |
dc.description.abstract | The set of volumes of stable surfaces does have accumulation points. In this paper, we study this phenomenon for surfaces with one cyclic quotient singularity, towards answering the question under which conditions we can still have boundedness. Effective bounds allow listing singularities that might appear on a stable surface after fixing its invariants. We find optimal inequalities for stable surfaces with one cyclic quotient singularity, which can be used to prove boundedness under certain conditions. We also introduce the notion of generalized T-singularity, which is a natural generalization of the well-known T-singularities. By using our inequalities, we show how the accumulation points of volumes of stable surfaces with one generalized T-singularity are formed. | |
dc.description.version | 2021-07-31 | |
dc.format.extent | 68 páginas | |
dc.fuente.origen | Autoarchivo | |
dc.identifier.doi | 10.7764/tesisUC/MAT/61648 | |
dc.identifier.uri | https://doi.org/10.7764/tesisUC/MAT/61648 | |
dc.identifier.uri | https://repositorio.uc.cl/handle/11534/61648 | |
dc.information.autoruc | Facultad de Matemáticas ; Urzúa Elia, Giancarlo A. ; S/I ; 13222 | |
dc.information.autoruc | Facultad de Matemáticas ; Torres Valencia, Diana Carolina ; S/I ; 1051001 | |
dc.language.iso | en | |
dc.nota.acceso | Contenido completo | |
dc.rights | acceso abierto | |
dc.subject.ddc | 514.746 | |
dc.subject.dewey | Matemática física y química | es_ES |
dc.subject.other | Singularidades (Matemáticas) | es_ES |
dc.subject.other | Superficies | es_ES |
dc.title | On accumulation points of volumes of stable surfaces with one cyclic quotient singularity | es_ES |
dc.type | tesis doctoral | |
sipa.codpersvinculados | 13222 | |
sipa.codpersvinculados | 1051001 |