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On the Drinfeld Modular Polynomial ΦT(X,Y)

✍ Scribed by A. Schweizer

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
528 KB
Volume
52
Category
Article
ISSN
0022-314X

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✦ Synopsis

We derive some properties of the Drinfeld modular polynomial (\Phi_{T}(X, Y)) as well as an algorithm for its computation. We also give some examples and applications to the computation of supersingular invariants, Brandt matrices, and elliptic curves. it 1995 Academic Press. Inc.

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## The uniqueness of the minimal solution of the matrix equation A(A)X(A)+ Y(A)B(h) = C(A) is discussed in this paper. It is proved that Bamett's condition for uniqueness can be obtained when only A(A) or B(A) (not necessarily both) is regular. Furthermore, it is shown that if such a minimal soluti