@article{8f51b111c58a4a04b346f7be4604139f,
title = "E-polytopes in Picard groups of smooth rational surfaces",
abstract = "In this article, we introduce special divisors (root, line, ruling, exceptional system and rational quartic) in smooth rational surfaces and study their correspondences to subpolytopes in Gosset polytopes k21. We also show that the sets of rulings and exceptional systems correspond equivariantly to the vertices of 2k1 and 1k2 via E-type Weyl action.",
keywords = "Del Pezzo surface, E-polytope, Gosset polytope, Hirzebruch surface",
author = "Lee, {Jae Hyouk} and Shin, {Yong Joo}",
note = "Funding Information: The first author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology(No.2013R1A1A2012783) and the second author was supported by Shanghai Center for Mathematical Sciences. The authors are grateful to the reviewer for her/his comments, which contributed to improve the quality of the article. Publisher Copyright: {\textcopyright} 2016 by the authors.",
year = "2016",
month = apr,
day = "1",
doi = "10.3390/sym8040027",
language = "English",
volume = "8",
journal = "Symmetry",
issn = "2073-8994",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "4",
}