Non-split Brauer-Severi varieties do not admit full exceptional collections

Abstract

Recently, Novaković conjectured that non-split Brauer-Severi varieties do not admit full strong exceptional collections. In this short note, we explain how a stronger version of this conjecture follows easily from known results on noncommutative motives.

4 pages

References in corpus (1)

• No full exceptional collections on non-split Brauer--Severi varieties of dimension $\le 3$

Cited by in corpus (2)

• Non-existence of exceptional collections on twisted flags and categorical representability via noncommutative motives
• Deformation of exceptional collections