The Hilbert function of some Hadamard products

• Autores: Cristiano Bocci, G. Calussi, G. Fatabbi, A. Lorenzini
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 69, Fasc. 2, 2018, págs. 205-220
• Idioma: inglés
• DOI: 10.1007/s13348-017-0200-z
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• Resumen

  • 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.