Tilting bundles on toric Fano fourfolds

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• 作者：Nathan Prabhu-Naik ^{Nathan.Prabhu-Naik@bath.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 14A22 ; secondary ; 13F60 ; 22F30
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：471
• 期：Complete
• 页码：348-398
• 全文大小：978 K

文摘

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.