A tight bound on the projective dimension of four quadrics
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2017.10.005
Abstract: Motivated by Stillman's question, we show that the projective dimension of an ideal generated by four quadric forms in a polynomial ring is at most 6; moreover, this bound is tight. We achieve this bound,… read more here.
Keywords: dimension; tight bound; four quadrics; bound projective ... See more keywords
The stable property of projective dimension
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498819502244
Abstract: We introduce the concept of monomial ideals with stable projective dimension, as a generalization of the Cohen–Macaulay property. Indeed, we study the class of monomial ideals [Formula: see text], whose projective dimension is stable under… read more here.
Keywords: dimension stable; property; projective dimension; formula see ... See more keywords