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

Abstract

We study some algebraic invariants of t-spread ideals, t 1, 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 t-spread ideals for which such bounds are optimal.

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