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PARABOLIC k-AMPLE BUNDLES

INDRANIL BISWAS

School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India

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and

FATIMA LAYTIMI

Mathématiques – Bât. M2, Université Lille 1, F-59655 Villeneuve d'Ascq Cedex, France

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https://doi.org/10.1142/S0129167X11007367Cited by:1 (Source: Crossref)

Abstract

We construct projectivization of a parabolic vector bundle and a tautological line bundle over it. It is shown that a parabolic vector bundle is ample if and only if the tautological line bundle is ample. This allows us to generalize the notion of a k-ample bundle, introduced by Sommese, to the context of parabolic bundles. A parabolic vector bundle E_* is defined to be k-ample if the tautological line bundle is k-ample. We establish some properties of parabolic k-ample bundles.

Keywords:

AMSC: 14F05, 14F17

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