This book is the second volume of a work on complex analytic cycles and the results, stated without proof in the first volume, are proved here. It begins with the construction of the reduced complex space formed by all compact cycles of a given complex space. Following this construction the main subjects of the book are: * Fundamental class of a cycle and relative fundamental class of an analytic family of cycles * Intersection theory with parameters on complex manifolds and more generally on nearly smooth complex spaces * ...
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This book is the second volume of a work on complex analytic cycles and the results, stated without proof in the first volume, are proved here. It begins with the construction of the reduced complex space formed by all compact cycles of a given complex space. Following this construction the main subjects of the book are: * Fundamental class of a cycle and relative fundamental class of an analytic family of cycles * Intersection theory with parameters on complex manifolds and more generally on nearly smooth complex spaces * Holomorphic currents on reduced complex spaces * Chow varieties and cycle spaces of quasi-projective complex spaces * Natural morphism from the Douady space to the cycle space * Holomorphic convexity in cycle spaces and integration of $\bar{partial}$-cohomology classes on cycles * Strong K???hlerianity of cycle spaces of K???hler manifolds * Numerous important applications of cycle space theory Preliminaries needed in the book in addition to the material of the first volume, for instance sheaf cohomology with support, are explained in detail, making this two-volume work quite self-contained. The French version of the present book was published in 2020 by the French Mathematical Society in the series Cours Sp???cialis???s and during the translation process the authors have in many ways improved the original version.
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Fine. Contains: Illustrations, black & white. Grundlehren der mathematischen Wissenschaften . XVI, 640 p. 84 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Complex Analytic Cycles II: The Cycle Space to cart. $221.60, new condition, Sold by GreatBookPricesUK5 rated 5.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 2025 by Springer International Publishing AG.
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New. Contains: Illustrations, black & white. Grundlehren der mathematischen Wissenschaften . XVI, 640 p. 84 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Fine. Contains: Illustrations, black & white. Grundlehren der mathematischen Wissenschaften . XVI, 640 p. 84 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
