Associated forms and hypersurface singularities: The binary case
Associated forms and hypersurface singularities: The binary case
Abstract In the recent articles [5, 1], it was conjectured that all rational <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>GL</m:mi> <m:mi>n</m:mi> </m:msub> </m:math> {\mathrm{GL}_{n}} -invariant functions of forms of degree <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>d</m:mi> <m:mo>≥</m:mo> <m:mn>3</m:mn> </m:mrow> </m:math> {d\geq 3} on <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>ℂ</m:mi> <m:mi>n</m:mi> </m:msup> </m:math> {\mathbb{C}^{n}} can be extracted, in …