44 citations · 84 across the 20 of their papers we have counts for
22 papers
Point Objects on Abelian Varieties
Aise Johan de Jong, Martin Olsson
We classify the point objects in the derived category of a torsor under an abelian variety over a field of characteristic .
Derived equivalences over base schemes and support of complexes
Max Lieblich, Martin Olsson
Let and be smooth projective varieties over a field admitting morphisms and to a third variety . We formulate conditions on a derived equival…
Representability of cohomology of finite flat abelian group schemes
Daniel Bragg, Martin Olsson
We prove various finiteness and representability results for cohomology of finite flat abelian group schemes. In particular, we show that if …
Deformation theory of perfect complexes and traces
Max Lieblich, Martin Olsson
We show that the deformation theory of a perfect complex and that of its determinant are related by the trace map, in a general setting of sheaves on a site. The key technical step…
Topological reconstruction theorems for varieties
János Kollár, Max Lieblich, Martin Olsson +1
We study Torelli-type theorems in the Zariski topology for varieties of dimension at least 2, over arbitrary fields. In place of the Hodge structure, we use the linear equivalence…
Derived categories and birationality
Max Lieblich, Martin Olsson
We discuss the question of finding conditions on a derived equivalence between two smooth projective varieties and that imply that and are birational. The types of…