Additive Chow groups with higher modulus and the generalized de Rham-Witt complex [Elektronische Ressource] / von Kay Rülling

Additive Chow groups with higher modulusandthe generalized de Rham-Witt complexDissertationzur Erlangung des GradesDoktor der Naturwissenschaften(Dr. rer. nat.)vorgelegt beimFachbereich Mathematik und Informatikder Universit¨at Duisburg-Essenvon Kay Rull¨ ingaus EssenTag der Disputation 11. Mai 2005Vorsitzender der Pruf¨ ungskommission Prof. Dr. Axel KlawonnErster Gutachter Prof. Dr. H´el`ene EsnaultZweiter Gutachter Prof. Dr. Eckart ViehwegAcknowledgmentsI am very grateful to H´el`ene Esnault for giving me the subject of this thesis and forher excellent guidance and support, not only during the work on this problem, butfrom the very beginning of my mathematical studies.IwanttoexpressmygratitudetoLarsHesselholtforexplainingtheWittvectorsand the generalized de Rham-Witt complex to me.I would like to thank Spencer Bloch and Gerd Faltings for several hints, inparticular, to construct the trace for the Witt vectors via the norm map.I want to thank Stefan Kukulies for the many discussions concerning the foun-dations of algebraic geometry, Andre Chatzistamatiou for the careful reading of theintroduction and Wioletta Syzdek for the supply with chocolate.Finally I want to thank my parents for making untroubled studies possible.