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Geometric aspects of Dwork theory /
This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It presents a wide-ranging overview of some of the most active areas of contemporary research in arithm...
| Cote: | Libro Electrónico |
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| Autres auteurs: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Berlin ; New York :
W. de Gruyter,
2004.
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| Collection: | De Gruyter Proceedings in Mathematics
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| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- An introduction to the theory of p-adicrepresentationsLaurent BergerSmooth p-adic analytic spaces are locallycontractible. IIVladimir G. Berkovich*; Germs of analytic varieties in algebraic varieties:canonical metrics and arithmetic algebraizationtheoremsJean-Benoît Bost; Thirty years laterGilles Christol; Approximation of eigenforms of infinite slope byeigenforms of finite slopeRobert F. Coleman and William A. Stein; Crystalline cohomology of singular varietiesRichard Crew*; Stacks of twisted modules and integral transformsAndrea D'Agnolo* and Pietro Polesello**.
- On some rational generating series occuring inarithmetic geometryJan Denef and François LoeserCompactifications arithmétiques des variétés deHilbert et formes modulaires de Hilbert pour1(c, n)Mladen Dimitrov.
- Preface; Table of Contents of Volume I; Table of Contents of Volume II; The Mathematical Publications of Bernard Dwork; Exponential sums and generalized hypergeometricfunctions. I: Cohomology spaces and Frobenius actionAlan Adolphson*; Sur la conjecture des p-courbures deGrothendieck-Katz et un problème de DworkYves André; Hilbert modular varieties of low dimensionFabrizio Andreatta and Eyal Z. Goren; On Dwork cohomology for singular hypersurfacesFrancesco Baldassarri and Pierre Berthelot *; On Dwork cohomology and algebraic D-modulesFrancesco Baldassarri and Andrea D'Agnolo.