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summer 2000
 
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Wojciech J. Gajda

professor of mathematics

Mailing address:
Faculty of Mathematics and Computer Science
Adam Mickiewicz University
Umultowska 87, 61-614 Poznań, POLAND
Office: Collegium Mathematicum, B1-35
Phone: +48 (61) 829 5503
Fax: +48 (61) 829 5315
Email: gajda AT amu DOT edu DOT pl

Research interests:

arithmetic geometry, number theory, algebraic topology, algebraic K-theory

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Wojciech Wawrów, Uniwersytet im. Adama Mickiewicza w Poznaniu

17.04.2019 14:00, B1-37

Title: On torsion of superelliptic Jacobians

Abstract:

For any superelliptic curve y^m=F(x) we give a description of a subgroup of the Jacobian formed by m-torsion points coming from the roots of F. We proceed to study the Mordell-Weil ranks of Jacobians of special superelliptic curves over Q by applying this description of torsion to their reductions, along with results concerning existence of torsion on the curves over finite fields.