Papers by Dr. Imran Ahmed
A more general class than complete intersection singularities is the class of determinantal singu... more A more general class than complete intersection singularities is the class of determinantal singularities. They are defined by the vanishing of all the minors of a certain size of a m × n-matrix. In this note, we consider G-finite determinacy of matrices defining a special class of determinantal varieties. They are called essentially isolated determinantal singularities (EIDS) and were defined by Ebeling and Gusein-Zade [7]. In this note, we prove that matrices parametrized by generic homogeneous forms of degree d define EIDS. It follows that G-finite determinacy of matrices hold in general. As a consequence, EIDS of a given type (m, n, t) holds in general.
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Papers by Dr. Imran Ahmed