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Splitting criteria
for vector bundles on higher-dimensional varieties
Parsa Bakhtary |
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Vol. 252 (2011), No. 1, 19–29
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Abstract |
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We generalize Horrocks’ criterion for the splitting of vector bundles on projective space by establishing an analogous splitting criterion for vector bundles on a class of smooth complex projective varieties of dimension ≥ 4, over which every extension of line bundles splits. |
Keywords
splitting, vector bundle, Horrocks’ criterion,
Grothendieck–Lefschetz theorem
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Mathematical Subject Classification 2000
Primary: 14J60, 14F05
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Milestones
Received: 22 October 2010
Revised: 24 November 2010
Accepted: 30 November 2010
Published: 8 October 2011
Proposed: Alexander S. Merkurjev
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Authors |
| Parsa Bakhtary | |
| Department of Mathematics and
Statistics King Fahd University of Petroleum and Minerals Box 1654 Dhahran 31261 Saudi Arabia |
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| http://faculty.kfupm.edu.sa/MATH/pbakhtary | |
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