On adelic Chern forms and the Bott residue formula
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Amnon Yekutieli (1996)
Banach Center Publications
Bureš, Jarolím, Souček, Vladimír (1984)
Proceedings of the 12th Winter School on Abstract Analysis
Tristan Torrelli (2004)
Bulletin de la Société Mathématique de France
Given a germ of holomorphic function on , we study the condition: “the ideal is generated by operators of order1”. We obtain here full characterizations in the particular cases of Koszul-free germs and unreduced germs of plane curves. Moreover, we prove that this condition holds for a special type of hyperplane arrangements. These results allow us to link this condition to the comparison of de Rham complexes associated with .
Jing Yu (1990)
Compositio Mathematica
Alexandru Dimca, Morihiko Saito (1993)
Compositio Mathematica
Ernst-Ulrich Gekeler (1989)
Journal für die reine und angewandte Mathematik
Osamu Hyodo (1991)
Compositio Mathematica
Tomohide Terasoma (1992)
Journal für die reine und angewandte Mathematik
Adolfo Quirós (1990)
Mathematische Annalen
Takeo Ohsawa (1992)
Mathematische Zeitschrift
Ogus, Arthur (2003)
Documenta Mathematica
J. Carlson, H. Clemens, J. Morgan (1981)
Annales scientifiques de l'École Normale Supérieure
Christopher Davis, Andreas Langer, Thomas Zink (2011)
Annales scientifiques de l'École Normale Supérieure
The goal of this work is to construct, for a smooth variety over a perfect field k of finite characteristic , an overconvergent de Rham-Witt complex as a suitable subcomplex of the de Rham-Witt complex of Deligne-Illusie. This complex, which is functorial in , is a complex of étale sheaves and a differential graded algebra over the ring of overconvergent Witt-vectors. If is affine one proves that there is an isomorphism between Monsky-Washnitzer cohomology and (rational) overconvergent...
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