Displaying similar documents to “Counting rational points on del Pezzo surfaces with a conic bundle structure”

Polytopes, quasi-minuscule representations and rational surfaces

Jae-Hyouk Lee, Mang Xu, Jiajin Zhang (2017)

Czechoslovak Mathematical Journal

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We describe the relation between quasi-minuscule representations, polytopes and Weyl group orbits in Picard lattices of rational surfaces. As an application, to each quasi-minuscule representation we attach a class of rational surfaces, and realize such a representation as an associated vector bundle of a principal bundle over these surfaces. Moreover, any quasi-minuscule representation can be defined by rational curves, or their disjoint unions in a rational surface, satisfying certain...