Line bundles for which a projectivized jet bundle is a product
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- by Sandra Di Rocco and Andrew J. Sommese PDF
- Proc. Amer. Math. Soc. 129 (2001), 1659-1663 Request permission
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 $H\oplus \dots \oplus H$.References
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Additional Information
- Sandra Di Rocco
- Affiliation: Department of Mathematics, KTH, Royal Institute of Technology, S-100 44 Stockholm, Sweden
- MR Author ID: 606949
- Email: sandra@math.kth.se
- Andrew J. Sommese
- Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
- Email: sommese@nd.edu
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1659-1663
- MSC (2000): Primary 14J40, 14M99
- DOI: https://doi.org/10.1090/S0002-9939-00-05875-5
- MathSciNet review: 1814094