Drinfeld modular polynomials in higher rank |
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Authors: | Florian Breuer Hans-Georg Rück |
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Institution: | a Department of Mathematical Sciences, University of Stellenbosch, Stellenbosch, 7600, South Africa b Fachbereich für Mathematik und Informatik, Universität Kassel, Kassel 34132, Germany |
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Abstract: | We study modular polynomials classifying cyclic isogenies between Drinfeld modules of arbitrary rank over the ring FqT]. We derive bounds for the coefficients of these polynomials, and compute some explicit examples in the case where q=2, the rank is 3 and the isogenies have degree T. |
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Keywords: | Drinfeld modules Modular polynomials Sublattices |
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