Abstract
Let p be a prime number, V a complete discrete valuation ring of unequal caracteristics (0,p) , G a smooth affine algebraic group over Spec V . Using partial divided powers techniques of Berthelot, we construct arithmetic distribution algebras, with level m , generalizing the classical construction of the distribution algebra. We also construct the weak completion of the classical distribution algebra over a finite extension K of \mathbf Q_p . We then show that these distribution algebras can be identified with invariant arithmetic differential operators over G , and prove a coherence result when the ramification index of K is < p-1 .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
More From: Rendiconti del Seminario Matematico della Università di Padova
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
