most citedCohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers

4 citations · 7 across the 4 of their papers we have counts for

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4 papers

math.AT2020★ 3 cited

Cohomological rigidity for Fano Bott manifolds

Akihiro Higashitani, Kazuki Kurimoto

In the present paper, we characterize Fano Bott manifolds up to diffeomorphism in terms of three operations on matrix. More precisely, we prove that given two Fano Bott manifolds $…

math.AT2020★ 4 cited

Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers

Akihiro Higashitani, Kazuki Kurimoto, Mikiya Masuda

The cohomological rigidity problem for toric manifolds asks whether toric manifolds are diffeomorphic (or homeomorphic) if their integral cohomology rings are isomorphic. Many affi…

cs.DM2020

Feedback game on -chromatic Eulerian triangulations of surfaces

Akihiro Higashitani, Kazuki Kurimoto, Naoki Matsumoto

In this paper, we study the feedback game on -chromatic Eulerian triangulations of surfaces. We prove that the winner of the game on every -chromatic Eulerian triangulation o…

math.CO2018

Permutations with small maximal -consecutive sums

Akihiro Higashitani, Kazuki Kurimoto

Let and be positive integers with . Given a permutation of integers , we consider -consecutive sums of , i.e., $s_i:=\sum_{j=0}^{k…