Department of Mathematics2024-11-1020161435-985510.4171/JEMS/6212-s2.0-84969764523http://dx.doi.org/10.4171/JEMS/621https://hdl.handle.net/20.500.14288/16548We construct a positive allowable Lefschetz fibration over the disk on any minimal (weak) symplectic filling of the canonical contact structure on a lens space. Using this construction we prove that any minimal symplectic filling of the canonical contact structure on a lens space is obtained by a sequence of rational blowdowns from the minimal resolution of the corresponding complex two-dimensional cyclic quotient singularity.MathematicsApplied mathematicsJournal Article376455800004Q16152