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arXiv · 1501.05871

Tilting Bundles on Toric Fano Fourfolds

Nathan Prabhu-Naik
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Abstract

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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BibTeXRIS

Nathan Prabhu-Naik. 2015-01-26. Tilting Bundles on Toric Fano Fourfolds. https://arxiv.org/abs/1501.05871

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