On the Hilbert function on ${\mathbb{P}}^1\times {\mathbb{P}}^1$

Paola Bonacini, Lucia Marino

Let $Q={\mathbb{P}}^{1}x{\mathbb{P}}^1$ and let $X\subset Q$ be a 0-dimensional scheme. This paper is a first step towards the characterization of Hilbert functions of 0- dimensional s…