Hostname: page-component-848d4c4894-4hhp2 Total loading time: 0 Render date: 2024-05-18T15:39:33.821Z Has data issue: false hasContentIssue false
  • English
  • Français

Duality between D(X) and with its application to picard sheaves

Published online by Cambridge University Press:  22 January 2016

Shigeru Mukai
Shigeru Mukai*
Affiliation:
Department of Mathematics, Nagoya University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

As is well known, for a real vector space V, the Fourier transformation

gives an isometry between L2(V) and L2(Vv), where Vv is the dual vector space of V and < , >: V×Vv → R is the canonical pairing.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 81 , March 1981 , pp. 153 - 175
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

References

[EGA] Grothendieck, A. and Dieudonne, J., Éléments de géométrie algébrique, Publ. Math. I.H.E.S. Google Scholar
[ 1 ] Altman, A. and Kleiman, S., Compactifying the Picard scheme, to appear in Adv. Math.Google Scholar
[ 2 ] Hartshorne, R., Residues and duality, Lect. Note in Math., 20, Springer-Verlag, Berlin-Heidelberg-New York, 1966.Google Scholar
[ 3 ] Hensel, K. and Landsberg, G., Theorie der algebraischen Functionen, Leipzig, 1902.Google Scholar
[ 4 ] Mukai, S., Semi-homogeneous vector bundles on an abelian variety, J. Math. Kyoto Univ., 18 (1978), 239–272.Google Scholar
[ 5 ] Mukai, S., Semi-homogeneous vector bundles on an abelian variety, II, in preparation.Google Scholar
[ 6 ] Mumford, D., Abelian varieties, Oxford University Press, 1974.Google Scholar
[ 7 ] Oda, T., Vector bundles over an elliptic curve, Nagoya Math. J., 43 (1971), 41–71.Google Scholar
[ 8 ] Schwarzenberger, R. L. E., Jacobians and symmetric products, Illinois J. Math., 7 (1963), 257–268.Google Scholar
[ 9 ] Umemura, H., On a property of symmetric products of a curve of genus 2, Proc. Int. Symp. on Algebraic Geometry, Kyoto, 1977, Kinokuniya, Tokyo, 709–721.Google Scholar