On the Determinantal Representation of Quaternary Forms |
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| Authors: | Luca Chiantini Anthony V Geramita |
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| Institution: | 1. Dipartimento di Ingegneria dell'Informazione e Scienze Matematiche , Università di Siena , Siena , Italia luca.chiantini@unisi.it;3. Department of Mathematics , Queen's University , Kingston , Ontario , Canadaand Dipartimento di Matematica, Università di Genova, Genova, Italia |
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| Abstract: | We prove that a general polynomial form of degree d in 4 variables, over the complex field, can be written as the sum of two determinants of 2 × 2 matrices of forms, with given degree matrix (a ij ), for any choice of non-negative integers a ij ≤ d with a 11 + a 22 = a 12 + a 21 = d. |
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| Keywords: | Join varieties Polynomial forms |
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