Drinfeld modular polynomials in higher rank II: Kronecker congruences

Title: Drinfeld modular polynomials in higher rank II: Kronecker congruences
Creator: Breuer, Florian; Rück, Hans-georg
Relation: Journal of number Theory Vol. 165, p. 1-14
Publisher Link: http://dx.doi.org/10.1016/j.jnt.2016.01.001
Publisher: Academic Press
Resource Type: journal article
Date: 2016
Description: This is a sequel to the paper [4], in which we introduced Drinfeld modular polynomials of higher rank, using an analytic construction. These polynomials relate the isomorphism invariants of Drinfeld Fq [T]-modules of rank r ≥ 2 linked by isogenies of a specified type. In the current paper, we give an algebraic construction of greater generality, and prove a generalization of the Kronecker congruences relations, which describe what happens when modular polynomials associated to P-isogenies are reduced modulo a prime P . We also correct an error in [4].
Subject: Drinfeld modules; modular polynomials; isogenies; isomorphism invariants
Identifier: http://hdl.handle.net/1959.13/1437119
Identifier: uon:40246
Identifier: ISSN:0022-314X
Language: eng
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