Ciência-IUL
Publications
Publication Detailed Description
Journal Title
Proceedings of the American Mathematical Society
Year (definitive publication)
2008
Language
English
Country
United States of America
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Abstract
A very long-standing problem in Algebraic Geometry is to determine the stability of exceptional vector bundles on smooth projective varieties. In this paper we address this problem and we prove that any exceptional vector bundle on a smooth complete intersection 3-fold Y subset of P-n of type (d(1),..., d(n-3)) with d(1) + ... + d(n-3) <= n and n <= 4 is stable.
Acknowledgements
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Keywords
Exceptional vector bundles,stability
Fields of Science and Technology Classification
- Mathematics - Natural Sciences