35 citations · 68 across the 3 of their papers we have counts for
3 papers
math.AC2009★ 26 cited
Bound on the projective dimension of three cubics
Bahman Engheta
We show that given any polynomial ring R over a field, and any ideal J in R which is generated by three cubic forms, the projective dimension of R/J is at most 36. We also settle t…
math.AC2008★ 7 cited
Bound on the multiplicity of almost complete intersections
Bahman Engheta
Let be a polynomial ring over a field of characteristic zero and let be a graded ideal of height which is minimally generated by homogeneous polynomials…
math.AC2006★ 35 cited
On the projective dimension and the unmixed part of three cubics
Bahman Engheta
Let be a polynomial ring over a field in an unspecified number of variables. We prove that if is an ideal generated by three cubic forms, and the unmixed part of…