Maximal minors of a matrix with linear form entries |
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| Authors: | Hiroya Ito Atsushi Noma |
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| Institution: | 1. Department of Mathematics, The University of Electro-Communications, Chofu, Japan.;2. Department of Mathematics, Yokohama National University, Yokohama, Japan. |
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| Abstract: | Let P be a matrix whose entries are homogeneous polynomials in n variables of degree one over an algebraically closed field. We show that the maximal minors, say m-minors, of P generate the linear space of homogeneous polynomials of degree m if P has the maximal rank m at every point of the affine n-space except the origin. |
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| Keywords: | Eagon–Northcott complexes maximal minors polynomials Korn’s inequality |
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