20 citations · 55 across the 18 of their papers we have counts for
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Schubert calculus from polyhedral parametrizations of Demazure crystals
Naoki Fujita
One approach to Schubert calculus is to realize Schubert classes as concrete combinatorial objects such as Schubert polynomials. Through an identification of the cohomology ring of…
Newton-Okounkov bodies of flag varieties and combinatorial mutations
Naoki Fujita, Akihiro Higashitani
A Newton-Okounkov body is a convex body constructed from a projective variety with a globally generated line bundle and with a higher rank valuation on the function field, which gi…
Newton-Okounkov polytopes of Schubert varieties arising from cluster structures
Naoki Fujita, Hironori Oya
The theory of Newton-Okounkov bodies is a generalization of that of Newton polytopes for toric varieties, and it gives a systematic method of constructing toric degenerations of pr…
Newton-Okounkov bodies for Bott-Samelson varieties and string polytopes for generalized Demazure modules
Naoki Fujita
A Newton-Okounkov convex body is a convex body constructed from a projective variety with a valuation on its homogeneous coordinate ring; this generalizes a Newton polytope for a t…