22 citations · 60 across the 14 of their papers we have counts for
20 papers
The embedded deformation problem for monomial ideals
Benjamin Briggs, Eloísa Grifo, Josh Pollitz
This article is concerned with homological properties of local or graded rings whose defining relations are monomials on some regular sequence. The main result of the article posit…
Differential and symbolic powers of ideals
Alessandro De Stefani, Eloísa Grifo, Jack Jeffries
We characterize symbolic powers of prime ideals in polynomial rings over any field in terms of -linear differential operators, and of prime ideals in polynomial rings o…
Bounds on cohomological support varieties
Benjamin Briggs, Eloísa Grifo, Josh Pollitz
Over a local ring , the theory of cohomological support varieties attaches to any bounded complex of finitely generated -modules an algebraic variety that encode…
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…
A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic
Alessandro De Stefani, Eloísa Grifo, Jack Jeffries
We prove an explicit uniform Chevalley theorem for direct summands of graded polynomial rings in mixed characteristic. Our strategy relies on the introduction of a new type of diff…
Constructing non-proxy small test modules for the complete intersection property
Benjamin Briggs, Eloísa Grifo, Josh Pollitz
A local ring is regular if and only if every finitely generated -module has finite projective dimension. Moreover, the residue field is a test module: is regular if…