Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector bundles on proper toric 3-folds and certain other schemes   We show that a proper algebraic n-dimensional scheme Y admits nontrivial
vector bundles of rank n, even if Y is non-projective, provided that there is a
modification containing a projective Cartier divisor that intersects the
exceptional locus in only finitely many points. Moreover, there are such vector
bundles with arbitrarily large top Chern number. Applying this to toric
varieties, we infer that every proper toric threefold admits such vector
bundles of rank three. Furthermore, we describe a class of higher-dimensional
toric varieties for which the result applies, in terms of convexity properties
around rays.

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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: stat
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs