BooksecrCollected Volumepp. 103–110

A note on derived categories of Fermat varieties

  • Akira Ishii

    Hiroshima University, Japan

  • Kazushi Ueda

    Osaka University, Japan
A note on derived categories of Fermat varieties cover
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Abstract

We show that the quotient stack of a Fermat variety with respect to a natural abelian group action has a full strong exceptional collection consisting of invertible sheaves. We also discuss a description of the derived category of the Fermat variety in terms of the coherent action of the group of characters on the derived category of the quotient stack.