Varieties of Sums of Powers for binary forms

Details Varieties of Sums of Powers for binary forms Varieties of Sums of Powers for binary forms

2002-02-06

arxiv.org/abs/math/0202050v1

Mathematics

Algebraic Geometry

corrected typos

Scientific paper

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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