Duality for bounded derived categories of complete intersections

Abstract

We show that every thick subcategory of the singularity category of a complete intersection ring is self dual. We also prove the analogous statement for thick subcategories of the bounded derived category and give applications to the symmetry of vanishing of cohomology. These results are also proved for certain complete intersection schemes.

12 pages, comments welcome - minor corrections and added a few details

Cited by in corpus (4)

• The radius of a subcategory of modules
• Thick tensor ideals of right bounded derived categories
• Classifying Resolving Subcategories
• High Frobenius pushforwards generate the bounded derived category