Fröberg conjecture

In algebraic geometry, the Fröberg conjecture is a conjecture about the possible Hilbert functions of a set of forms. It is named after, who introduced it in. The Fröberg–Iarrobino conjecture is a generalization introduced by.

Statement of Conjecture

Given generic homogeneous polynomials of degrees, respectively. Then the Hilbert series of is
truncated at its first negative term.