Papers
The non-Lefschetz locus for conics - In preparation
The non-Lefschetz locus for vector bundle of rank 2 on ℙ² - Journal of Algebra
A finite length graded R-module M has the Weak Lefschetz Property if there is a linear element l in R such that the multiplication map xl from Mi to Mi+1 has maximal rank. The set of linear forms with this property forms a Zariski-open set and its complement is called the non-Lefschetz locus.
In this paper, I focus on the study of the non-Lefschetz locus for the first cohomology module of a locally free sheaf E of rank 2 over ℙ². The main result is that this non-Lefschetz locus has the expected codimension under the assumption that E is general.
Some notes and corrections of the paper “The Non-Lefschetz locus” – Journal of Algebra
Invited talks
08/10/2023
AMS meeting in Omaha, Special Session on "Varieties with Unexpected Hypersurfaces, Geproci Sets and their Interactions"
The non-Lefschetz locus for lines and for conics
18/09/2023
University of Illinois Chicago, Algebraic Geometry Seminar
The non-Lefschetz locus, jumping lines and conics
05/07/2023
Workshop on Lefschetz Properties in Algebra, Geometry, Topology and Combinatorics at Fields Institute, Toronto
The non-Lefschetz locus for lines and for conics
05/07/2023
URiCA, Upcoming Researchers in Commutative Algebra at the University of Nebraska-Lincoln
The non-Lefschetz locus of the first cohomology module of a locally free sheaf E of rank 2 over ℙ²
01/06/2023
Special session "The combinatorics and geometry of Jordan type and Lefschetz properties"
Joint Mathematics Meetings 2023, Boston
The non-Lefschetz locus for vector bundle of rank 2 on ℙ²
06/14/2022
University of Udine