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

A subscription is required to access this book chapter.

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.