29 citations · 103 across the 20 of their papers we have counts for
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math.AG2021★ 3 cited
Toric orbifolds associated with partitioned weight polytopes in classical types
Tatsuya Horiguchi, Mikiya Masuda, John Shareshian +1
Given a root system of type , , , or in Euclidean space , let be the associated Weyl group. For a point not orthogonal to any of the roots…
math.CO2021
Mixed Eulerian numbers and Peterson Schubert calculus
Tatsuya Horiguchi
Let be a root system. Postnikov introduced and studied the mixed -Eulerian numbers. These numbers indicate the mixed volumes of -hypersimplices. As specializations of the…
math.AG2021★ 3 cited
Geometry of Peterson Schubert calculus in type A and left-right diagrams
Hiraku Abe, Tatsuya Horiguchi, Hideya Kuwata +1
We introduce an additive basis of the integral cohomology ring of the Peterson variety which reflects the geometry of certain subvarieties of the Peterson variety. We explain the p…