Toric Fano manifolds of dimension at most eight with positive second Chern characters

Abstract

We show that any toric Fano manifold of dimension at most eight with the positive second Chern character is isomorphic to the projective space by using polymake.

11 pages, v2: title changed, the script and the result of dimension eight were added

References in corpus (1)

• An algorithm for the classification of smooth Fano polytopes

Cited by in corpus (1)

• The minimal projective bundle dimension and toric $2$-Fano manifolds