We prove that for any finite field k, there exist differentiable O-sequences which are not Hilbert functions of reduced graded k-algebras. We discuss when generic Hilbert functions and the Hilbert function of a complete intersection can be Hilbert functions of reduced or of integral graded algebras.
Bibliographical noteFunding Information:
by an NSERC grant.
ASJC Scopus subject areas
- Algebra and Number Theory