Resumen de The Hilbert function of some Hadamard products

Cristiano Bocci, G. Calussi, G. Fatabbi, A. Lorenzini

• In this paper we address the Hadamard product of not necessarily generic linear varieties, looking in particular at its Hilbert function. We find that the Hilbert function of the Hadamard product ?⋆? of two varieties, with dim(?),dim(?)≤1 , is the product of the Hilbert functions of the original varieties X and Y. Moreover, the same result is obtained for generic linear varieties X and Y as a consequence of our showing that their Hadamard product is projectively equivalent to a Segre embedding.