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Green's Functions for Drinfeld Modular Curves

โœ Scribed by Ulrich Tipp

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
220 KB
Volume
77
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

Let K=F q (T ) be a rational function field and the place given by the degree in T. Let L ร‚K be a finite extension with ramification index not bigger than 2. We show in this paper how the local Ne ron Tate height pairing at on Drinfeld modular curves over K of divisors whose points are defined over L can be described through analytic functions on 0_0 where 0 is the Drinfeld upper half plane. The Green's function is locally constant around the cusps. For X 0 (N ) the Green's function for cusps is then described by Eisenstein series.

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