20 citations · 102 across the 15 of their papers we have counts for
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math.AG2016★ 20 cited
A comparison of Newton-Okounkov polytopes of Schubert varieties
Naoki Fujita, Hironori Oya
A Newton-Okounkov body is a convex body constructed from a polarized variety with a valuation on its function field. Kaveh (resp., the first author and Naito) proved that the Newto…
math.QA2016★ 6 cited
Quantum twist maps and dual canonical bases
Yoshiyuki Kimura, Hironori Oya
In this paper, we show that quantum twist maps, introduced by Lenagan-Yakimov, induce bijections between dual canonical bases of quantum nilpotent subalgebras. As a corollary, we s…