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E-Polytopes in Picard Groups of Smooth Rational Surfaces

Title
E-Polytopes in Picard Groups of Smooth Rational Surfaces
Authors
Lee, Jae-HyoukShin, YongJoo
Ewha Authors
이재혁
SCOPUS Author ID
이재혁scopus
Issue Date
2016
Journal Title
SYMMETRY-BASEL
ISSN
2073-8994JCR Link
Citation
vol. 8, no. 4
Keywords
del Pezzo surfaceHirzebruch surfaceGosset polytopeE-polytope
Publisher
MDPI AG
Indexed
SCIE; SCOPUS WOS scopus
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 k(21). We also show that the sets of rulings and exceptional systems correspond equivariantly to the vertices of 2(k1) and 1(k2) via E-type Weyl action.
DOI
10.3390/sym8040027
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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