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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Stability of special instanton bundles on $ {\bf P}\sp {2n+1}$


Authors: Vincenzo Ancona and Giorgio Ottaviani
Journal: Trans. Amer. Math. Soc. 341 (1994), 677-693
MSC: Primary 14F05
MathSciNet review: 1136544
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Abstract: We prove that the special instanton bundles of rank $ 2n$ on $ {\mathbb{P}^{2n + 1}}(\mathbb{C})$ with a symplectic structure studied by Spindler and Trautmann are stable in the sense of Mumford-Takemoto. This implies that the generic special instanton bundle is stable. Moreover all instanton bundles on $ {\mathbb{P}^5}$ are stable. We get also the stability of other related vector bundles.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1994-1136544-9
PII: S 0002-9947(1994)1136544-9
Keywords: Instanton, stable vector bundle
Article copyright: © Copyright 1994 American Mathematical Society