Del Pezzo Surfaces and Semiregular Polytopes
نویسنده
چکیده
In this article, we research on the correspondences between the geometry of del Pezzo surfaces Sr and the geometry of Gosset polytopes (r−4)21. We study skew a-lines(a ≤ r), exceptional systems and rulings, and we explain their correspondences to (a− 1)-simplexes, (r − 1)-simplexes and (r − 1)-crosspolytopes in (r − 4)21. And we apply these correspondences to the monoidal transform for lines and rulings on del Pezzo surfaces. And we explore the Steiner system on the set of lines on Sr and their correspondence to the inscribed polytopes in (r − 4)21.
منابع مشابه
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