The rational torsion subgroups of Drinfeld modular Jacobians and Eisenstein pseudo-harmonic cochains

Let n be a square-free ideal of F q [ T ] . We study the rational torsion subgroup of the Jacobian variety J 0 ( n ) of the Drinfeld modular curve X 0 ( n ) . We prove that for any prime number ℓ not dividing q ( q - 1 ) , the ℓ -primary part of this group coincides with that of the cuspidal divisor...

Full description

Saved in:
Bibliographic Details
Published in:Mathematische Zeitschrift 2017-10, Vol.287 (1-2), p.521-546
Main Authors: Papikian, Mihran, Wei, Fu-Tsun
Format: Article
Language:English
Subjects:
Jacobians
Mathematics
Mathematics and Statistics
Subgroups
Torsion
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let n be a square-free ideal of F q [ T ] . We study the rational torsion subgroup of the Jacobian variety J 0 ( n ) of the Drinfeld modular curve X 0 ( n ) . We prove that for any prime number ℓ not dividing q ( q - 1 ) , the ℓ -primary part of this group coincides with that of the cuspidal divisor class group. We further determine the structure of the ℓ -primary part of the cuspidal divisor class group for any prime ℓ not dividing q - 1 .
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-016-1835-2