Daniel Barlet, Jón Magnússon

Complex Analytic Cycles I

Basic Results on Complex Geometry and Foundations for the Study of Cycles
Übersetzung:Huckleberry, Alan

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Grundlehren der mathematischen Wissenschaften 356
• Verlag: Société Mathématique de France / Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-030-31162-9
• 1st ed. 2019
• Seitenzahl: 548
• Erscheinungstermin: 24. Januar 2020
• Englisch
• Abmessung: 241mm x 160mm x 35mm
• Gewicht: 976g
• ISBN-13: 9783030311629
• ISBN-10: 3030311627
• Artikelnr.: 57425912

Autorenporträt

Daniel Barlet studied mathematics at the ENS Ulm (Paris) from 1966 to 1970. After his graduation he became assistant professor at the University of Paris VII, where he defended his thèse d'État in December 1974. From 1976 to 2011 he was professor at the University of Nancy I, which is today a part of the University of Lorraine. He was president of the French Mathematical Society (92/94) and was elected as a senior member of the Institut Universitaire de France (Analysis and Complex Geometry) from 1998 to 2003 and his chair was renewed for five years in 2003. Since 2011 he has been professor emeritus at the Institute of Elie Cartan at the University of Lorraine. Jón Magnússon finished a B.Sc. in mathematics at the University of Iceland in 1976 and obtained a doctoral degree in mathematics from the University of Paris VII (Jussieu) in 1981. Since then he has been working, first as a research mathematician and later as a professor, at the University of Iceland. In 2023 he became a professor emeritus at the University of Iceland. His research interests are mainly in cycle space theory.

Inhaltsangabe

Preliminary material.- Multigraphs and Reduced Complex Spaces.- Analysis and Geometry on a Reduced Complex Space.- Families of Cycles in Complex Geometry.