论文标题

T-Spread理想的投射维度和Castelnuovo-Mumford的规律性

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

论文作者

Amata, Luca, Crupi, Marilena, Ficarra, Antonino

论文摘要

我们通过众所周知的分级分辨率研究了一些$ t $ spread理想的代数不变式,例如$ t \ ge 1 $,例如投射维度和Castelnuovo-Mumford的规律性。我们陈述了这些不变的上限,此外,我们确定了一类特殊的T-spread理想,这些理想是最佳的。

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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