Powers of componentwise linear ideals: The Herzog--Hibi--Ohsugi
Conjecture and related problems
Powers of componentwise linear ideals: The Herzog--Hibi--Ohsugi
Conjecture and related problems
In 1999 Herzog and Hibi introduced componentwise linear ideals. A homogeneous ideal $I$ is componentwise linear if for all non-negative integers $d$, the ideal generated by the homogeneous elements of degree $d$ in $I$ has a linear resolution. For square-free monomial ideals, componentwise linearity is related via Alexander duality to …