Eloísa Grifo

activity

20152021

most citedSymbolic powers of ideals

7 citations · 7 across the 2 of their papers we have counts for

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6 papers · 1 filter

math.AC2021

Lower bounds on Betti numbers

Adam Boocher, Eloísa Grifo

We survey recent results on bounds for Betti numbers of modules over polynomial rings, with an emphasis on lower bounds. Along the way, we give a gentle introduction to free resolu…

math.AC2020

Expected resurgence of ideals defining Gorenstein rings

Eloísa Grifo, Craig Huneke, Vivek Mukundan

Building on previous work by the same authors, we show that certain ideals defining Gorenstein rings have expected resurgence, and thus satisfy the stable Harbourne Conjecture. In…

math.AC2019

Expected resurgences and symbolic powers of ideals

Eloísa Grifo, Craig Huneke, Vivek Mukundan

We give explicit criteria that imply the resurgence of a self-radical ideal in a regular ring is strictly smaller than its codimension, which in turn implies that the stable versio…

math.AC2018

A stable version of Harbourne's Conjecture and the containment problem for space monomial curves

Eloísa Grifo

The symbolic powers $I^{(n)}$ of a radical ideal $I$ in a polynomial ring consist of the functions that vanish up to order $n$ in the variety defined by $I$ . These do not necessari…

math.AC2017★ 7 cited

Symbolic powers of ideals

Hailong Dao, Alessandro De Stefani, Eloísa Grifo +2

We survey classical and recent results on symbolic powers of ideals. We focus on properties and problems of symbolic powers over regular rings, on the comparison of symbolic and re…

math.AC2015

Edge ideals and DG algebra resolutions

Adam Boocher, Alessio D'Alì, Eloísa Grifo +2

Let $R = S / I$ where $S = k [T_{1}, \dots, T_{n}]$ and $I$ is a homogeneous ideal in $S$ . The acyclic closure $R ⟨ Y ⟩$ of $k$ over $R$ is a DG algebra resolution obtained by…