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Trudy Moskovskogo Matematicheskogo Obshchestva, 2017, Volume 78, Issue 2, Pages 331–356 (Mi mmo603)  
This article is cited in 4 scientific papers (total in 4 papers)

From standard monomial theory to semi-toric degenerations via Newton–Okounkov bodies

X. Fang, P. Littelmann

Mathematisches Institut, Universität zu Köln, Cologne, Germany
Full-text PDF (337 kB) Citations (4)
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Abstract: The Hodge algebra structures on the homogeneous coordinate rings of Grassmann varieties provide semi-toric degenerations of these varieties. In this paper we construct these semi-toric degenerations using quasi-valuations and triangulations of Newton–Okounkov bodies.
Key words and phrases: distributive lattice, Hibi variety, standard monomial theory, toric degeneration, Newton–Okounkov body, Grassmann variety.
Received: 19.05.2017
Revised: 05.07.2017
English version:
Transactions of the Moscow Mathematical Society, 2017, Volume 78, Pages 275–297
DOI: https://doi.org/10.1090/mosc/273
Bibliographic databases:
Document Type: Article
UDC: 514.128, 512.725, 514.172.4
MSC: Primary 14M15; Secondary 14M25, 52B20
Language: English
Citation: X. Fang, P. Littelmann, “From standard monomial theory to semi-toric degenerations via Newton–Okounkov bodies”, Tr. Mosk. Mat. Obs., 78, no. 2, MCCME, M., 2017, 331–356; Trans. Moscow Math. Soc., 78 (2017), 275–297
Citation in format AMSBIB
\Bibitem{FanLit17}
\by X.~Fang, P.~Littelmann
\paper From standard monomial theory to semi-toric degenerations via Newton--Okounkov
bodies
\serial Tr. Mosk. Mat. Obs.
\yr 2017
\vol 78
\issue 2
\pages 331--356
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo603}
\elib{https://elibrary.ru/item.asp?id=37045070}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2017
\vol 78
\pages 275--297
\crossref{https://doi.org/10.1090/mosc/273}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85037638311}
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  • https://www.mathnet.ru/eng/mmo/v78/i2/p331
    • This publication is cited in the following 4 articles:
    1. Igor Makhlin, “Chain-order polytopes: toric degenerations, Young tableaux and monomial bases”, Algebraic Combinatorics, 7:5 (2024), 1525  crossref
    2. Rocco Chirivì, Xin Fang, Peter Littelmann, “Seshadri stratifications and standard monomial theory”, Invent. math., 234:2 (2023), 489  crossref
    3. Rocco Chirivì, Xin Fang, Peter Littelmann, “Seshadri stratification for Schubert varieties and standard monomial theory”, Proc Math Sci, 132:2 (2022)  crossref
    4. Elie Casbi, “Newton–Okounkov bodies for categories of modules over quiver Hecke algebras”, Annales de l'Institut Fourier, 72:5 (2022), 1773  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Moskovskogo Matematicheskogo Obshchestva
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    Full-text PDF :35
    References:32
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