Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toroidal b-divisors and Monge-Amp\`ere measures   We generalize the intersection theory of nef toric (Weil) b-divisors on
smooth and complete toric varieties to the case of smooth and complete toroidal
embeddings. As a key ingredient we show the existence of a limit measure,
supported on the weakly embedded rational conical polyhedral space attached to
the toroidal embedding, which arises as a limit of discrete measures defined
via tropical intersection theory on the polyhedral space. We prove that the
intersection theory of nef toroidal Cartier b-divisors can be extended
continuously to nef toroidal Weil b-divisors and that their degree can be
computed as an integral with respect to this limit measure. As an application,
we show that a Hilbert--Samuel type formula holds for big and nef toroidal Weil
b-divisors.

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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: eess