Generic torus orbit closures in flag Bott manifolds

TL;DR

This paper proves that generic torus orbit closures in flag Bott manifolds are smooth toric varieties and explicitly determines their fan structures.

Contribution

It establishes the smoothness of these orbit closures and provides an explicit calculation of their fan structures, advancing understanding of their geometric properties.

Findings

Generic torus orbit closures are non-singular toric varieties.

Explicit fan structures are computed for these orbit closures.

The results enhance the geometric understanding of flag Bott manifolds.

Abstract

In this article the generic torus orbit closure in a flag Bott manifold is shown to be a non-singular toric variety, and its fan structure is explicitly calculated.