Algebraic Geometry Seminar in Udine

[Pietro De Poi]

Next week,

*Tuesday 14th June at 2:30 p.m.
*


Emanuela Marangone (Notre Dame Univ., Indiana, USA) will give a seminar on


Title: The non-Lefschetz locus for vector bundle of rank 2 on P^2

____

Abstract: A finite length graded R-module M has the Weak Lefschetz 
Property if there is a linear element l in R, polynomial ring in 3 
variables, such that the multiplication map times l from degree i and 
degree i+1 has maximal rank for every i. The set of linear forms with 
this property form a Zariski-open set and its complement is called the 
non-Lefschetz locus. We focus on the study of the non-Lefschetz locus 
for the first cohomology module of a locally free sheaf E of rank 2 over 
P^2, generalizing the case of complete intersections of codimention 3. 
The main result is to show that this non-Lefschetz locus has the 
expected codimension under the assumption that E is general.


venue: *sala riunioni - Udine University - *Dipartimento di Scienze 
Matematiche, Informatiche e Fisiche



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