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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.AG2010★ 1 cited
Algebro-geometric semistability of polarized toric manifolds
Hajime Ono
Let be an -dimensional integral Delzant polytope. It is well-known that there exist the -dimensional compact toric manifold and the very ample $…
math.AG2010★ 4 cited
A necessary condition for Chow semistability of polarized toric manifolds
Hajime Ono
Let Δ\subset \mathbb{R}^n be an n-dimensional Delzant polytope. It is well-known that there exist the n-dimensional compact toric manifold X_Δand the very ample (\mathbb{C}^\times)…