Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals

Abstract

In this paper, we study some algebraic invariants of [Formula: see text]-spread ideals, [Formula: see text], such as the projective dimension and the Castelnuovo–Mumford regularity, by means of well-known graded resolutions. We state upper bounds for these invariants and, furthermore, we identify a special class of [Formula: see text]-spread ideals for which such bounds are optimal.