DERIVED CATEGORIES OF TWISTED SHEAVES ON ELLIPTIC THREEFOLDS

By Andrei Căldăraru. 2000

80 citations recorded by the source corpus.

We construct an equivalence between the derived category of sheaves on an elliptic threefold without a section and a derived category of twisted sheaves (modules over an Azumaya algebra) on any small resolution of its relative Jacobian.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a4a858cc5293a340a21ebd32e5e09fe2bd5077fe

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Andrei Căldăraru
2. Simon Willerton
3. Bertrand Toën
4. N. Markarian
5. P. Stellari
6. K. Hori
7. D. Shklyarov
8. Alberto Canonaco

In Mathematical Physics

1. Andrei Căldăraru
2. Simon Willerton
3. Bertrand Toën
4. N. Markarian
5. P. Stellari
6. K. Hori
7. D. Shklyarov
8. Alberto Canonaco

Citations in the corpus

• Non-Fine Moduli Spaces of Sheaves on K3 Surfaces (2001, background): “If X is a smooth curve, Br(X) = Br′(X) = 0.”