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The moduli of a class of rank 2 vector bundles on P3

Published online by Cambridge University Press:  22 January 2016

G. Pete Wever*
Affiliation:
Department of Mathematics, The University of Kansas Lawrence, Kansas, 66045, USA
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Barth and others [1], [2], [5] have begun the study of stable algebraic vector bundles of rank 2 on projective space. Maruyama [7] has shown that stable rank 2 bundles have a variety of moduli which is the finite union of quasi-projective varieties.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

References

[ 1 ] Barth, W., Some properties of stable rank 2 vector bundles on Pn , Math. Ann., 226 (1977), 125150.Google Scholar
[ 2 ] Barth, W., Moduli of vector bundles on the projective plane, Invent. Math., 42 (1977), 6391.Google Scholar
[ 3 ] Gieseker, D., On the moduli of vector bundles on an algebraic surface, Annals of Math., 106 (1977), 4560.Google Scholar
[ 4 ] Hartshorne, R., Algebraic Geometry, Graduate Texts in Math., 52, Springer-Verlag, Heidelberg, New York, 1977.Google Scholar
[ 5 ] Hartshorne, R., Stable vector bundles of rank 2 on P3 , Math. Ann., 235 (1978), 229280.Google Scholar
[ 6 ] Horrocks, G., Vector bundles on the punctured spectrum of a local ring, Proc. Lond. Math. Soc, (3), 14 (1964), 689713.CrossRefGoogle Scholar
[ 7 ] Maruyama, M., Moduli of stable sheaves, I, J. Math., Kyoto Univ., 17 (1977), 91126.Google Scholar
[ 8 ] Maruyama, M., Moduli of stable sheaves, II, J. Math. Kyoto Univ., 18 (1978).Google Scholar
[ 9 ] Matsumura, H., Commutative Algebra, W.A. Benjamin Co., New York, 1970.Google Scholar