Eloísa Grifo

Symbolic Powers of Ideals

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 regular powers, and on the combinatorics of the symbolic powers of monomial ideals. In addition, we present some new results on these aspects of the subject.

Edge ideals and DG algebra resolutions

Let

On the growth of deviations

R= S/I

A Zariski--Nagata theorem for smooth ℤ-algebras

where

LOWER BOUNDS ON PROJECTIVE LEVELS OF COMPLEXES

S=k[T_1, \ldots, T_n]

Lower bounds on levels of perfect complexes

and

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

I

Local cohomology and Lyubeznik numbers of F -pure rings

is a homogeneous ideal in

Computations involving symbolic powers

S

A Zariski-Nagata theorem for smooth

. The acyclic closure