- 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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