Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on toric varieties from Mori theoretic viewpoint, II   We give new estimates of lengths of extremal rays of birational type for
toric varieties. We can see that our new estimates are the best by constructing
some examples explicitly. As applications, we discuss the nefness and
pseudo-effectivity of adjoint bundles of projective toric varieties. We also
treat some generalizations of Fujita's freeness and very ampleness for toric
varieties.

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The categories of this paper are: hep-ph
3
The categories of this paper are: physics
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
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The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg