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 Anthony Iarrobino (1997).

References

• Fröberg, Ralf (1985), "An inequality for Hilbert series of graded algebras", Mathematica Scandinavica 56 (2): 117–144, doi:10.7146/math.scand.a-12092, ISSN 0025-5521, http://www.mscand.dk/issue.php?year=1985&volume=56, retrieved 2012-02-12 
• Iarrobino, Anthony (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