133 citations · 275 across the 29 of their papers we have counts for
41 papers
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…
An Atlas for the Pinhole Camera
Sameer Agarwal, Timothy Duff, Max Lieblich +1
We introduce an atlas of algebro-geometric objects associated with image formation in pinhole cameras. The nodes of the atlas are algebraic varieties or their vanishing ideals rela…
Transcendental splitting fields of division algebras
Daniel Krashen, Max Lieblich
We examine when division algebras can share common splitting fields of certain types. In particular, we show that one can find fields for which one has infinitely many Brauer class…
Locally free twisted sheaves of infinite rank
Aise Johan de Jong, Max Lieblich, Minseon Shin
We study twisted vector bundles of infinite rank on gerbes, giving a new spin on Grothendieck's famous problem on the equality of the Brauer group and cohomological Brauer group. W…
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…
A Tannakian approach to patching
Bastian Haase, Daniel Krashen, Max Lieblich
We use Tannakian methods to show that patching for coherent sheaves implies patching for objects in any Noetherian algebraic stack with affine stabilizers. Among other things, this…