Datar, V and Jacob, A (2022) Hermitian�Yang�Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. In: Journal of Geometric Analysis, 32 (2).
|
PDF
jou_geo_ana_32-02_2022.pdf - Published Version Download (464kB) | Preview |
Abstract
Let X� P1 be an elliptically fibered K3 surface, admitting a sequence �i of Ricci-flat metrics collapsing the fibers. Let V be a holomorphic SU(n) bundle over X, stable with respect to �i. Given the corresponding sequence � i of Hermitian�Yang�Mills connections on V, we prove that, if E is a generic fiber, the restricted sequence � i| E converges to a flat connection A. Furthermore, if the restriction V| E is of the form �j=1nOE(qj-0) for n distinct points qj� E, then these points uniquely determine A. © 2022, The Author(s).
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of Geometric Analysis |
| Publisher: | Springer |
| Additional Information: | The copyright for this article belongs to Authors |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 27 Jan 2022 11:44 |
| Last Modified: | 27 Jan 2022 11:44 |
| URI: | http://eprints.iisc.ac.in/id/eprint/71020 |
Actions (login required)
 |
View Item |
