Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Newton-Okounkov polytopes of Schubert varieties arising from cluster
  structures   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 projective varieties. In this paper, we study
Newton-Okounkov bodies of Schubert varieties from the theory of cluster
algebras. We construct Newton-Okounkov bodies using specific valuations which
generalize extended g-vectors in cluster theory, and discuss how these bodies
are related to string polytopes and Nakashima-Zelevinsky polytopes.

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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: hep-lat