Math @ Duke

Publications [#287402] of Mark A. Stern
Papers Published
 Charbonneau, B; Stern, M, Asymptotic Hodge Theory of Vector Bundles,
Geometry and Topology, vol. 23 no. 3
(2015),
pp. 559609 [DG/1111.0591], [0591]
(last updated on 2017/12/15)
Abstract: We introduce several families of filtrations on the space of vector bundles over a smooth projective variety. These filtrations are defined using the large k asymptotics of the kernel of the Dolbeault Dirac operator on a bundle twisted by the kth power of an ample line bundle. The filtrations measure the failure of the bundle to admit a holomorphic structure. We study compatibility under the Chern isomorphism of these filtrations with the Hodge filtration on cohomology.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

