By Michael Schneider, Yum-Tong Siu

ISBN-10: 0521770866

ISBN-13: 9780521770866

The contributions during this significant paintings specialize in a relevant sector of arithmetic with powerful ties to partial differential equations, algebraic geometry, quantity concept, and differential geometry. The 1995-96 MSRI application on numerous complicated Variables emphasised those interactions and targeting present advancements and difficulties that capitalize in this interaction of principles and methods. This assortment presents a remarkably entire photo of the prestige of study in those overlapping parts and a foundation for major persevered contributions from researchers. numerous of the articles are expository or have vast expository sections, making this a superb advent for college students at the use of options from those different parts in different advanced variables. This quantity includes a consultant pattern of a few of the easiest paintings lately performed in different advanced Variables.

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Math. 71:3 (1983), 655–660. ` propos d’une conjecture de R. Hartshorne”, J. Reine [Barlet 1987] D. Barlet, “A Angew. Math. 374 (1987), 214–220. [Barlet and Magnusson 1998] D. Barlet and J. Magnusson, “Int´egration de classes de ´ cohomologie m´eromorphes et diviseurs d’incidence”, Ann. Sci. Ecole Norm. Sup. (4) 31:6 (1998), 811–842. [Barlet and Magnusson 1999] D. Barlet and J. Magnusson, “Transfert de l’amplitude du fibr´e normal au diviseur d’incidence”, J. reine angew. Math. 513 (1999). to appear.

Math. Sci. 7, Springer, Berlin, 1985. [Webster 1977a] S. M. Webster, “On the mapping problem for algebraic real hypersurfaces”, Invent. Math. 43:1 (1977), 53–68. [Webster 1977b] S. M. Webster, “On the transformation group of a real hypersurface”, Trans. Amer. Math. Soc. 231:1 (1977), 179–190. [Webster 1979] S. M. Webster, “On mapping an n-ball into an (n + 1)-ball in complex spaces”, Pacific J. Math. 81:1 (1979), 267–272. M. edu Several Complex Variables MSRI Publications Volume 37, 1999 How to Use the Cycle Space in Complex Geometry DANIEL BARLET Abstract.

Bishop, “Conditions for the analyticity of certain sets”, Michigan Math. J. 11 (1964), 289–304. [Campana 1980] F. Campana, “Alg´ebricit´e et compacit´e dans l’espace des cycles d’un espace analytique complexe”, Math. Ann. 251:1 (1980), 7–18. [Campana 1981] F. Campana, “Cor´eduction alg´ebrique d’un espace analytique faiblement k¨ ahl´erien compact”, Invent. Math. 63:2 (1981), 187–223. [Fujiki 1978] A. Fujiki, “Closedness of the Douady spaces of compact K¨ ahler spaces”, Publ. Res. Inst. Math. Sci.

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