@article{4a723ba1122949288f6e2d474f034979,
title = "Cylinders in del Pezzo surfaces",
abstract = "On del Pezzo surfaces, we study effective ample ℝ-divisors such that the complements of their supports are isomorphic to double-struck A1-bundles over smooth affine curves. All considered varieties are assumed to be algebraic and defined over an algebraically closed field of characteristic 0 throughout this article.",
author = "Ivan Cheltsov and Jihun Park and Joonyeong Won",
note = "Funding Information: The work of I.C. was supported within the framework of a subsidy granted to the HSE by the Government of the Russian Federation for the implementation of the Global Competitiveness Program. The work of J.P. has been supported by IBS-R003-D1, Institute for Basic Science in Korea and the work of J.W. by NRF-2014R1A1A2056432, the National Research Foundation in Korea. The authors are grateful to the referees for their invaluable comments. In particular, they pointed out gaps in the original proofs of Theorems 6.2.2 and 6.2.10. The gaps have been filled up in the revised version. Their comments enable the authors to improve the results as well as the exposition. Publisher Copyright: {\textcopyright} The Author(s) 2016. Published by Oxford University Press. All rights reserved.",
year = "2017",
doi = "10.1093/imrn/rnw063",
language = "English",
volume = "2017",
pages = "1179--1230",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "4",
}