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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Line bundles for which a projectivized jet bundle is a product


Authors: Sandra Di Rocco and Andrew J. Sommese
Journal: Proc. Amer. Math. Soc. 129 (2001), 1659-1663
MSC (2000): Primary 14J40, 14M99
Published electronically: December 13, 2000
MathSciNet review: 1814094
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Abstract | References | Similar Articles | Additional Information

Abstract: We characterize the triples $(X,L,H)$, consisting of line bundles $L$ and $H$ on a complex projective manifold $X$, such that for some positive integer $k$, the $k$-th holomorphic jet bundle of $L$, $J_k(X,L)$, is isomorphic to a direct sum $H\oplus\dots\oplus H$.


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Additional Information

Sandra Di Rocco
Affiliation: Department of Mathematics, KTH, Royal Institute of Technology, S-100 44 Stockholm, Sweden
Email: sandra@math.kth.se

Andrew J. Sommese
Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
Email: sommese@nd.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05875-5
PII: S 0002-9939(00)05875-5
Keywords: Jet bundle, complex projective manifold, projective space, Abelian variety
Received by editor(s): June 30, 1998
Received by editor(s) in revised form: October 13, 1999
Published electronically: December 13, 2000
Additional Notes: The first author would like to thank the Max Planck Institute for its support.
The second author would like to thank the Max Planck Institute and the Alexander von Humboldt Foundation for its support.
Communicated by: Ron Donagi
Article copyright: © Copyright 2000 American Mathematical Society