Cylinders in singular del Pezzo surfaces
SCIE
SCOPUS
- Title
- Cylinders in singular del Pezzo surfaces
- Authors
- Cheltsov, I; Park, J; Won, J
- Date Issued
- 2016-06
- Publisher
- Cambridge Univ. Press
- Abstract
- For each del Pezzo surface S with du Val singularities, we determine whether it admits a (-K-S)-polar cylinder or not. If it allows one, then we present an effective Q-divisor D that is Q-linearly equivalent to -K-S and such that the open set S\Supp(D) is a cylinder. As a corollary, we classify all the del Pezzo surfaces with du Val singularities that admit non-trivial G(a)-actions on their affine cones defined by their anticanonical divisors.
All considered varieties are assumed to be algebraic and defined over an algebraically closed field of characteristic 0 throughout this article.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/36850
- DOI
- 10.1112/S0010437X16007284
- ISSN
- 0010-437X
- Article Type
- Article
- Citation
- Compositio Mathematica, vol. 152, no. 6, page. 1198 - 1224, 2016-06
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- There are no files associated with this item.
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