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arXiv · 2203.07084

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

Luca Amata·Marilena Crupi·Antonino Ficarra
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Abstract

We study some algebraic invariants of $t$-spread ideals, $t\ge 1$, 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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Luca Amata, Marilena Crupi, Antonino Ficarra. 2022-03-14. Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals. https://arxiv.org/abs/2203.07084

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