8 citations · 24 across the 9 of their papers we have counts for
5 papers · 1 filter
An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties
Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka +1
In this paper we construct an additive basis for the cohomology ring of a regular nilpotent Hessenberg variety which is obtained by extending all Poincaré duals of smaller regular…
Uniform bases for ideal arrangements
Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka +1
In this paper we introduce and study uniform bases for the ideal arrangements in all Lie types. Explicit uniform bases are given by Abe-Horiguchi-Masuda-Murai-Sato for types $A,B,C…
The universal covers of hypertoric varieties and Bogomolov's decomposition
Takahiro Nagaoka
In this paper, we study the (singular) universal cover of an affine hypertoric variety. We show that it is given by another affine hypertoric variety, and taking the universal cove…
The universal Poisson deformation of hypertoric varieties and some classification results
Takahiro Nagaoka
In this paper, we study and describe the universal Poisson deformation space of hypertoric varieties concretely. In the first application, we show that affine hypertoric varieties…
On a sufficient condition for a Fano manifold to be covered by rational -folds
Takahiro Nagaoka
In this paper, we prove a conjecture by T. Suzuki, which says if a smooth Fano manifold satisfies some positivity condition on its Chern character, then it can be covered by ration…