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math.AG2020
Consequences of the existence of exceptional collections in arithmetic and rationality
Matthew R. Ballard, Alexander Duncan, Alicia Lamarche +1
A well-known conjecture of Orlov asks whether the existence of a full exceptional collection implies rationality of the underlying variety. We prove this conjecture for arithmetic…
math.AG2020
Separable algebras and coflasque resolutions
Matthew R. Ballard, Alexander Duncan, Alicia Lamarche +1
Over a non-closed field, it is a common strategy to use separable algebras as invariants to distinguish algebraic and geometric objects. The most famous example is the deep connect…