Tilting bundles on toric Fano fourfolds

Nathan Prabhu-Naik

Research output: Contribution to journalArticlepeer-review

8 Citations (SciVal)


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.

Original languageEnglish
Pages (from-to)348-398
Number of pages51
JournalJournal of Algebra
Publication statusPublished - 1 Feb 2017


  • Derived category
  • Quiver algebra
  • Tilting theory
  • Toric geometry

ASJC Scopus subject areas

  • Algebra and Number Theory


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