Abstract
We compute the Newton–Okounkov bodies of line bundles on the complete ag variety of GL n for a geometric valuation coming from a ag of translated Schubert subvarieties. The Schubert subvarieties correspond to the terminal subwords in the decomposition (s 1)(s 2 s 1)(s 3 s 2 s 1)(⋯)(s n –1⋯s 1) of the longest element in the Weyl group. The resulting Newton–Okounkov bodies coincide with the Feigin–Fourier–Littelmann–Vinberg polytopes in type A.
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(VALENTINA KIRITCHENKO) The research was carried out at the IITP RAS at the expense of the Russian Foundation for Sciences (project 14-50-00150).
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KIRITCHENKO, V. NEWTON–OKOUNKOV POLYTOPES OF FLAG VARIETIES. Transformation Groups 22, 387–402 (2017). https://doi.org/10.1007/s00031-016-9372-y
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DOI: https://doi.org/10.1007/s00031-016-9372-y