Toric Topology of the Grassmannian Of Planes In ℂ⁵ and the Del Pezzo Surface of Degree 5

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Abstract

We determine the integral homology of the orbit space of a maximal compact torus action on the Grassmannian Gr(2;C5). This problem has been also studied by Buchstaber and Terzic via purely topological methods. Here, we propose an alternative approach via the well-known Geometric Invariant Theory of the algebraic torus action on this Grassmannian.

Bibliographical metadata

Original languageEnglish
JournalMoscow Mathematical Journal
Publication statusAccepted/In press - 17 Aug 2020