Variétés Analytiques Compactes: Colloque, Nice, 19–23 by W. Barth, G. Elencwajg (auth.), Y. Hervier, A. Hirschowitz

By W. Barth, G. Elencwajg (auth.), Y. Hervier, A. Hirschowitz (eds.)

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An Oxford 'Topology 5 21-71 bundles on (1977) 'Komplexe M. 0 introduction Univo Fibre Ann. holomorphe 75-90 to the (1977). theory Steenrod math. Toda Catherine's and study D. No. Epstein Bundles' 50. 'Composition of math. College~ study 'Cohomology Princeton methods No° in 49° Univ. homotopy Princeton of (1960)o Princeton University (1951). Annals Oxford. bundles Rang 4th Steenrod Press 'Vector vom and IV' 131-153 Schneider Vektorraumb~ndel 5. J(X)- properties Ann. and groups Rees math. Barth Pn' E.

5) Global case: The following result is obtained in a joint paper of Y. T. Siu and the author, [ 9]. If T is a coherent sheaf with compact support on a complex space X, then ~ deformation (S,So, ~ , a ) . Moreover, has a versal if an analytic deformation of is formally complete it is already complete. The proof of this theorem is also based on power series methods and using a good description of the groups Ext,(X, ~ Ex (X,qC,~ -) as Cech cohomology groups. then also the sheaf ~ of the deformation If ~ ,~-) and is locally free is locally free, and hence if X is compact, the result of 0.

Eo 7. N° E. of 8o H° St. (1976). of stable 125-150 Wright edition on zwei' of projective rank-2 (1966)o 3-space' vector Unterraume Math. 'An Oxford 'Topology 5 21-71 bundles on (1977) 'Komplexe M. 0 introduction Univo Fibre Ann. holomorphe 75-90 to the (1977). theory Steenrod math. Toda Catherine's and study D. No. Epstein Bundles' 50. 'Composition of math. College~ study 'Cohomology Princeton methods No° in 49° Univ. homotopy Princeton of (1960)o Princeton University (1951). Annals Oxford. bundles Rang 4th Steenrod Press 'Vector vom and IV' 131-153 Schneider Vektorraumb~ndel 5.

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