Postulation of a union \(X\subset \mathbb P^r\), \(r\geq 4\), of a given zero-dimensional scheme and several general lines
Summary: We study the Hilbert function of the union \(X\) of a given zero-dimensional scheme \(Z\subset \mathbb P^r\), \(r\geq 4\), and \(t\) general lines of \(\mathbb P^r\), proving, for example, that if \(t \gg \mathrm{deg}(Z)\), then \(X\) has maximal rank.
scientific article; zbMATH DE number 6304702