Framed moduli spaces and tuples of operators

Details Framed moduli spaces and tuples of operators Framed moduli spaces and tuples of operators

2012-03-14

arxiv.org/abs/1203.3174v1

Mathematics

Algebraic Geometry

Scientific paper

In this work we address the classical problem of classifying tuples of linear operators and linear functions on a finite dimensional vector space up to base change. Having adopted for the situation considered a construction of framed moduli spaces of quivers, we develop an explicit classification of tuples belonging to a Zariski open subset. For such tuples we provide a finite family of normal forms and a procedure allowing to determine whether two tuples are equivalent.

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