\(E\)-polytopes in Picard groups of smooth rational surfaces (Q2412342)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(E\)-polytopes in Picard groups of smooth rational surfaces |
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\(E\)-polytopes in Picard groups of smooth rational surfaces (English)
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23 October 2017
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Summary: 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.
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del Pezzo surface
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Hirzebruch surface
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Gosset polytope
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\(E\)-polytope
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