Cylinders in singular del Pezzo surfaces

Ivan Cheltsov, Jihun Park, Joonyeong Won

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

For each del Pezzo surface with du Val singularities, we determine whether it admits a -polar cylinder or not. If it allows one, then we present an effective -divisor that is -linearly equivalent to and such that the open set is a cylinder. As a corollary, we classify all the del Pezzo surfaces with du Val singularities that admit non-trivial -actions on their affine cones defined by their anticanonical divisors.
Original languageEnglish
Pages (from-to)1198-1224
JournalCompositio Mathematica
Volume152
Issue number06
Early online date21 Apr 2016
DOIs
Publication statusPublished - 1 Jun 2016

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