Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Mori theory and Newton-Okounkov bodies of Bott-Samelson varieties   We prove that on a Bott-Samelson variety $X$ every movable divisor is nef.
This enables us to consider Zariski decompositions of effective divisors, which
in turn yields a description of the Mori chamber decomposition of the effective
cone. This amounts to information on all possible birational morphisms from
$X$. Applying this result, we prove the rational polyhedrality of the global
Newton-Okounkov body of a Bott-Samelson variety with respect to the so called
`horizontal' flag. In fact, we prove the stronger property of the finite
generation of the corresponding global value semigroup.

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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph