Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tilting Bundles on Toric Fano Fourfolds   This paper constructs tilting bundles obtained from full strong exceptional
collections of line bundles on all smooth $4$-dimensional toric Fano varieties.
The tilting bundles lead to a large class of explicit Calabi-Yau-$5$ algebras,
obtained as the corresponding rolled-up helix algebra. A database of the full
strong exceptional collections can be found in the package
QuiversToricVarieties for the computer algebra system Macaulay2.

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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: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys