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math.AG2023
Bott manifolds with vanishing Futaki invariants for all Kähler classes
Hajime Ono, Yuji Sano, Naoto Yotsutani
We prove that the only Bott manifolds such that the Futaki invariant vanishes for any Kähler class are isomorphic to the products of the projective lines.
math.AG2023
Weight polytopes and energy functionals of toric varieties
Yuji Sano
We prove that the weight polytope of the Hurwitz form of a polarized smooth toric variety coincides with the convex hull of the characteristic vectors introduced in the previous wo…
math.AG2023
Characteristic vectors for the Hurwitz polytopes of toric varieties
Ryoma Ogusu, Yuji Sano
We introduce a characteristic vector with respect to a regular triangulation of the momentum polytope to compute the Hurwitz polytope of a given smooth toric variety. As a result,…