Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9496496 | Journal of Number Theory | 2005 | 54 Pages |
Abstract
We introduce the p-adic analogue of Arakelov intersection theory on arithmetic surfaces. The intersection pairing in an extension of the p-adic height pairing for divisors of degree 0 in the form described by Coleman and Gross. It also uses Coleman integration and is related to work of Colmez on p-adic Green functions. We introduce the p-adic version of a metrized line bundle and define the metric on the determinant of its cohomology in the style of Faltings. We also prove analogues of the Adjunction formula and the Riemann-Roch formula.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Amnon Besser,