dc.date.accessioned | 2021-08-23T22:55:02Z | |
dc.date.accessioned | 2022-10-19T00:24:08Z | |
dc.date.available | 2021-08-23T22:55:02Z | |
dc.date.available | 2022-10-19T00:24:08Z | |
dc.date.created | 2021-08-23T22:55:02Z | |
dc.date.issued | 2018 | |
dc.identifier | http://hdl.handle.net/10533/251527 | |
dc.identifier | 1150068 | |
dc.identifier | WOS:000431089100029 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4482790 | |
dc.description.abstract | We determine a one-to-one correspondence between Milnor fibers and minimal symplectic fillings of a quotient surface singularity (up to diffeomorphism type) by giving an explicit algorithm to compare them mainly via techniques from the minimal model program for 3-folds and Pinkham's negative weight smoothing. As by-products, we show that: - Milnor fibers associated to irreducible components of the reduced versal deformation space of a quotient surface singularity are not diffeomorphic to each other with a few obvious exceptions. For this, we classify minimal symplectic fillings of a quotient surface singularity up to diffeomorphism. - Any symplectic filling of a quotient surface singularity is obtained by a sequence of rational blow-downs from a special resolution (so-called the maximal resolution) of the singularity, which is an analogue of the one-to-one correspondence between the irreducible components of the reduced versal deformation space and the so-called P-resolutions of a quotient surface singularity. (C) 2018 Elsevier Inc. All rights reserved. Keywords. Author Keywords:Milnor fiber | |
dc.description.abstract | Quotient surface singularity | |
dc.description.abstract | Symplectic filling | |
dc.language | eng | |
dc.relation | http://www.scielo.org.mx/pdf/peredu/v39n158/0185-2698-peredu-39-158-00168.pdf | |
dc.relation | handle/10533/111557 | |
dc.relation | 10.1016/j.aim.2018.03.002 | |
dc.relation | handle/10533/111541 | |
dc.relation | handle/10533/108045 | |
dc.rights | info:eu-repo/semantics/article | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
dc.title | Milnor fibers and symplectic fillings of quotient surface singularities | |
dc.type | Articulo | |