16 citations · 34 across the 4 of their papers we have counts for
4 papers
Singular support of coherent sheaves, and the geometric Langlands conjecture
Dima Arinkin, Dennis Gaitsgory
We develop the notion of singular support of a coherent sheaf on a quasi-smooth DG scheme or stack and use it to formulate the Geometric Langlands Conjecture.
An example of the Langlands correspondence for irregular rank two connections on P^1
Dmitry Arinkin, Roman Fedorov
Special kinds of rank 2 vector bundles with (possibly irregular) connections on P^1 are considered. We construct an equivalence between the derived category of quasi-coherent sheav…
Autoduality of compactified Jacobians for curves with plane singularities
D. Arinkin
Let C be an integral projective curve with planar singularities. Consider its Jacobian J and the compactified Jacobian J'. We construct a flat family P of Cohen-Macaulay sheaves on…
Cohomology of line bundles on compactified Jacobians
D. Arinkin
Let C be an integral projective curve with surficial singularities. We prove that topologically trivial line bundles on the compactified Jacobian of C are in one-to-one corresponde…