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Coordinate-free characterization of homogeneous polynomials with isolated singularities

Coordinate-free characterization of homogeneous polynomials with isolated singularities

The Durfee conjecture, proposed in 1978, relates two important invariants of isolated hypersurface singularities by a famous inequality; however, the inequality in this conjecture is not sharp.In 1995, Yau announced his conjecture which proposed a sharp inequality.The Yau conjecture characterizes the conditions under which an affine hypersurface with an isolated …