Complex Analytic Cycles II

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.

• 5 Construction of the Cycle Space.- 6 Relative fundamental classes.- 7 Intersection theory.- 8 Holomorphic currents and Intersection Theory in a nearly smooth complex spaces.- 9 Chow varieties and Cycle spaces.- 10 Douady −− > Cycles.- 11 Convexity of Cycles space.- 12 Kählerianity of Cycle Spaces.