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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Complex Analytic Cycles I - Basic Results on Complex Geometry and Foundations for the Study of Cycles (Hardcover, 1st ed. 2019)
Loot Price: R3,714
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Complex Analytic Cycles I - Basic Results on Complex Geometry and Foundations for the Study of Cycles (Hardcover, 1st ed. 2019)
Series: Grundlehren der mathematischen Wissenschaften, 356
Expected to ship within 10 - 15 working days
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The book consists of a presentation from scratch of cycle space
methodology in complex geometry. Applications in various contexts
are given. A significant portion of the book is devoted to material
which is important in the general area of complex analysis. In this
regard, a geometric approach is used to obtain fundamental results
such as the local parameterization theorem, Lelong' s Theorem and
Remmert's direct image theorem. Methods involving cycle spaces have
been used in complex geometry for some forty years. The purpose of
the book is to systematically explain these methods in a way which
is accessible to graduate students in mathematics as well as to
research mathematicians. After the background material which is
presented in the initial chapters, families of cycles are treated
in the last most important part of the book. Their topological
aspects are developed in a systematic way and some basic, important
applications of analytic families of cycles are given. The
construction of the cycle space as a complex space, along with
numerous important applications, is given in the second volume. The
present book is a translation of the French version that was
published in 2014 by the French Mathematical Society.
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