Configuration of lines in del Pezzo surfaces with Gosset Polytopes

Details Configuration of lines in del Pezzo surfaces with Gosset Polytopes Configuration of lines in del Pezzo surfaces with Gosset Polytopes

2010-01-23

arxiv.org/abs/1001.4174v1

Mathematics

Algebraic Geometry

41 pages

Scientific paper

In this article, we study the divisor classes of del Pezzo surfaces, which are written as the sum of distinct lines with fixed intersection according to the inscribed simplexes and crosspolytopes in Gosset polytopes. We introduce the k-Steiner system and cornered simplexes, and characterize the configurations of inscribed m(<4)-simplexes with them. Higher dimensional inscribed m(3

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