On accumulation points of volumes of stable surfaces with one cyclic quotient singularity

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dc.contributor.advisorUrzúa Elia, Giancarlo A.
dc.contributor.authorTorres Valencia, Diana Carolina
dc.contributor.otherPontificia Universidad Católica de Chile. Facultad de Matemáticas
dc.date2021-07-31
dc.date.accessioned2021-07-30T13:54:43Z
dc.date.issued2021
dc.date.updated2021-07-29T20:06:43Z
dc.descriptionTesis (Doctor en Matemática)--Pontificia Universidad Católica de Chile, 2021
dc.description.abstractThe 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.version2021-07-31
dc.format.extent68 páginas
dc.fuente.origenAutoarchivo
dc.identifier.doi10.7764/tesisUC/MAT/61648
dc.identifier.urihttps://doi.org/10.7764/tesisUC/MAT/61648
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/61648
dc.information.autorucFacultad de Matemáticas ; Urzúa Elia, Giancarlo A. ; S/I ; 13222
dc.information.autorucFacultad de Matemáticas ; Torres Valencia, Diana Carolina ; S/I ; 1051001
dc.language.isoen
dc.nota.accesoContenido completo
dc.rightsacceso abierto
dc.subject.ddc514.746
dc.subject.deweyMatemática física y químicaes_ES
dc.subject.otherSingularidades (Matemáticas)es_ES
dc.subject.otherSuperficieses_ES
dc.titleOn accumulation points of volumes of stable surfaces with one cyclic quotient singularityes_ES
dc.typetesis doctoral
sipa.codpersvinculados13222
sipa.codpersvinculados1051001
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