Abstract
Abstract 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 gives a systematic method of constructing toric degenerations of projective varieties. Its combinatorial properties heavily depend on the choice of a valuation, and it is a fundamental problem to relate Newton–Okounkov bodies associated with different kinds of valuations. In this paper, we address this problem for flag varieties using the framework of combinatorial mutations, which was introduced in the context of mirror symmetry for Fano manifolds. By applying iterated combinatorial mutations, we connect specific Newton–Okounkov bodies of flag varieties including string polytopes, Nakashima–Zelevinsky polytopes, and Feigin–Fourier–Littelmann–Vinberg polytopes.
Highlights
T h i sw o r kw a ss upporte db yG r a n t i n.
Departmental Bulletin Paper publisher niversit yo fTokyo
結晶基底の多面体表示における中島ーZelevinsky 多面体 (F .ー内藤 [15], F.—大矢 [16]),
Summary
T h i sw o r kw a ss upporte db yG r a n t i n. Departmental Bulletin Paper publisher niversit yo fTokyo
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have