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Varieties of Sums of Powers for binary forms

E. Carlini
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Abstract

The problem of simultaneous decomposition of binary forms as sums of powers of linear forms is studied. For generic forms the minimal number of linear forms needed is found and the space parametrizing all the possible decompositions is described. These results are applied to the study of rational curves.

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E. Carlini. 2002-02-06. Varieties of Sums of Powers for binary forms. https://arxiv.org/abs/math/0202050

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