We extend a result of Tadao Oda  (Corollary 5.11) to the case of a reduced proper curve X over a perfect field of characteristic p with at worst ordinary multiple points as singularities. Our result identifies the Dieudonné module of the finite k-group scheme Pic0 X/k[p] with a cohomological construction on X generalizing de Rham cohomology. Much of this thesis is devoted to developing relevant background material and giving a detailed review of Oda’s proof. Our method of proof uses Oda’s theorem and is not a replacement for it. However, one of our central results is an alternate characterization of Oda’s map.
|Commitee:||Ulmer, Douglas, Xue, Hang, Levin, Brandon|
|School:||The University of Arizona|
|School Location:||United States -- Arizona|
|Source:||DAI-B 82/1(E), Dissertation Abstracts International|
|Keywords:||Dieudonné theory, Logarithmic differential, Ordinary multiple points, Picard scheme, Semiabelian variety, Singular curve|
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