Resumen de Inverse systems, generic linear forms, divided powers, and transversality

Dan Laksov

• The main result of this work is a transversality result for linear spaces of forms of polynomials vanishing on generic points. In the process of proving this result, we clarify and refine previous work with Fröberg on the theory of inverse systems and generic forms.

  The needs for these improvements grew out of our proof of Zanello�s bound for Hilbert functions.