CRITERIA FOR THE AMPLENESS OF CERTAIN VECTOR BUNDLES

Biswas, I and Pingali, VP (2024) CRITERIA FOR THE AMPLENESS OF CERTAIN VECTOR BUNDLES. In: Proceedings of the American Mathematical Society, 152 (5). pp. 1961-1968.

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Abstract

We prove that certain vector bundles over surfaces are ample if they are so when restricted to divisors, certain numerical criteria hold, and they are semistable (with respect to det(E)). This result is a higher-rank version of a theorem of Schneider and Tancredi for vector bundles of rank two over surfaces. We also provide counterexamples indicating that our theorem is sharp. © 2024 American Mathematical Society. All rights reserved.

Item Type:	Journal Article
Publication:	Proceedings of the American Mathematical Society
Publisher:	American Mathematical Society
Additional Information:	The copyright for this article belongs to authors.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	10 Jul 2024 06:21
Last Modified:	10 Jul 2024 06:21
URI:	http://eprints.iisc.ac.in/id/eprint/84773

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