Spectral data for pairs of matrices of order 3 and action of the group $GL(2,Z)$

Details Spectral data for pairs of matrices of order 3 and action of the group $GL(2,Z)$ Spectral data for pairs of matrices of order 3 and action of the group $GL(2,Z)$

2009-10-04

arxiv.org/abs/0910.0606v1

Mathematics

Algebraic Geometry

7pp

Scientific paper

The group $GL(2,Z)$ acts in a natural way on the set of pairs of $n\times
n$-matrices determined up to a simultaneous conjugation. For $n=3$ we write
explicit formulas for action of generators of $GL(2,Z)$ in the terms of
spectral data of matrices, i.e., spectral curves and line bundles.

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