Biswas, Shibananda and Misra, Gadadhar and Putinar, Mihai (2012) Unitary invariants for Hilbert modules of finite rank. In: Journal für die Reine und Angewandte Mathematik (Crelle's Journal), 662 . pp. 165-204.
Full text not available from this repository.Abstract
We associate a sheaf model to a class of Hilbert modules satisfying a natural finiteness condition. It is obtained as the dual to a linear system of Hermitian vector spaces (in the sense of Grothendieck). A refined notion of curvature is derived from this construction leading to a new unitary invariant for the Hilbert module. A division problem with bounds, originating in Douady's privilege, is related to this framework. A series of concrete computations illustrate the abstract concepts of the paper.
| Item Type: | Journal Article |
|---|---|
| Additional Information: | Copyright of this article belongs to Walter de Gruyter GmbH & Co. KG. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 13 Apr 2012 09:07 |
| Last Modified: | 13 Apr 2012 09:07 |
| URI: | http://eprints.iisc.ernet.in/id/eprint/44273 |
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