p-adic Arakelov theory
β Scribed by Amnon Besser
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 510 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
Arakelov theory for Riemann surfaces is based on two analytic invariants: the Green function and Faltings 6 invariant. Both invariants are hard to compute and they are only known in a few cases (cJ: [3], [l]). They are related by a formula of Faltings, which also involves the theta-function on the J
## Abstract The __p__βadic ColombeauβEgorov algebra of generalized functions on β__^n^~p~__ is constructed. For generalized functions the operations of multiplication, Fourierβtransform, convolution, taking pointvalues are defined. The operations of (fractional) partial differentiation and (fractio