Torsion of Drinfeld modules and gonality

Verfasser / Beitragende:
[Andreas Schweizer]
Ort, Verlag, Jahr:
2004
Enthalten in:
Forum Mathematicum, 16/6(2004-09-16), 925-941
Format:
Artikel (online)
ID: 378919784
LEADER caa a22 4500
001 378919784
003 CHVBK
005 20180305123602.0
007 cr unu---uuuuu
008 161128e20040916xx s 000 0 eng
024 7 0 |a 10.1515/form.2004.16.6.925  |2 doi 
035 |a (NATIONALLICENCE)gruyter-10.1515/form.2004.16.6.925 
100 1 |a Schweizer  |D Andreas 
245 1 0 |a Torsion of Drinfeld modules and gonality  |h [Elektronische Daten]  |c [Andreas Schweizer] 
520 3 |a Recall that for a function field F over an algebraically closed field the gonality of F is defined as the minimal index of a rational subfield. For n ε IF q [T] we derive a lower bound for the gonality of the Drinfeld modular curve X 0(n). Then for Drinfeld IF q [T]-modules ɸ of rank 2 on a function field F we discuss explicit uniform bounds (in terms of the gonality of F) for the F-rational torsion of ɸ. We also complete the existing analogous results for elliptic curves over function fields by bounding the p-primary torsion in characteristic p. 
540 |a © de Gruyter 
690 7 |a Mathematical foundations  |2 nationallicence 
690 7 |a Applied mathematics  |2 nationallicence 
690 7 |a Calculus & mathematical analysis  |2 nationallicence 
773 0 |t Forum Mathematicum  |d Walter de Gruyter  |g 16/6(2004-09-16), 925-941  |x 0933-7741  |q 16:6<925  |1 2004  |2 16  |o form 
856 4 0 |u https://doi.org/10.1515/form.2004.16.6.925  |q text/html  |z Onlinezugriff via DOI 
908 |D 1  |a research article  |2 jats 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1515/form.2004.16.6.925  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Schweizer  |D Andreas 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Forum Mathematicum  |d Walter de Gruyter  |g 16/6(2004-09-16), 925-941  |x 0933-7741  |q 16:6<925  |1 2004  |2 16  |o form 
900 7 |b CC0  |u http://creativecommons.org/publicdomain/zero/1.0  |2 nationallicence 
898 |a BK010053  |b XK010053  |c XK010000 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-gruyter