Anti-flips of the blow-ups of the projective spaces at torus invariant points

TL;DR

This paper constructs a smooth toric Fano variety by explicitly performing anti-flips on the blow-up of projective space at torus invariant points, advancing the understanding of toric Fano varieties.

Contribution

It provides an explicit construction of a smooth toric Fano variety via anti-flips applied to blow-ups at torus invariant points.

Findings

Explicit construction of the smooth toric Fano variety.

Application of anti-flips in the context of blow-ups.

Enhanced understanding of the structure of toric Fano varieties.

Abstract

We explicitly construct the smooth toric Fano variety which is isomorphic to the blow-up of the projective space at torus invariant points in codimension one by anti-flips.