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 Ralf Fröberg, who introduced it in Fröberg (1985, page 120). The Fröberg–Iarrobino conjecture is a generalization introduced by Iarrobino (1997).

References

• Fröberg, Ralf (1985), "An inequality for Hilbert series of graded algebras", Mathematica Scandinavica 56 (2): 117–144, ISSN 0025-5521, MR 813632
• Iarrobino, A. (1997), "Inverse system of a symbolic power. III. Thin algebras and fat points", Compositio Mathematica 108 (3): 319–356, doi:10.1023/A:1000155612073, ISSN 0010-437X, MR 1473851