Categorical characterization of quadrics

Abstract

We give a characterization of smooth quadrics in terms of the existence of full exceptional collections of certain type, which generalizes a result of C.Vial for projective spaces.

arXiv commentsome improvements of the early version

References in corpus (3)

• Exceptional collections of line bundles on the Beauville surface
• Projectors on the intermediate algebraic Jacobians
• Height of exceptional collections and Hochschild cohomology of quasiphantom categories

Cited by in corpus (1)

• Note on Applications of Toric Systems on Surfaces