Lattice map for Anderson T-motives: first approach

Details Lattice map for Anderson T-motives: first approach Lattice map for Anderson T-motives: first approach

2011-09-04

arxiv.org/abs/1109.0679v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

Let $M$ be a T-motive of dimension $n$ and rank $r=2n$ given by an explicit
simple equation. We consider the lattice map in a "neighbourhood" of a T-motive
M(0) which is the $n$-th power of the Carlitz module of rank 2. We prove a
result that can suggest that this lattice map could be an isomorphism in this
"neighbourhood" (see Theorem 3 for the exact statement.

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