Ornella Greco's personal webpage
I am a Doctor in Mathematics. I have done my doctoral studies at KTH, under the supervision of Mats Boij;
I am interested in Commutative Algebra and Algebraic Combinatorics. So far, I have been working on the
extremal behaviour of Hilbert functions and Betti numbers, and on h-vectors of sets of points in the projective plane.
Lately, I have tried to calculate the Betti numbers of Veronese modules, using a combinatorial approach.
I have also worked on some problems concerning factorization in my master thesis,
supervisioned by Marco D'Anna,
Ralf Fröberg and
Articles and Preprints
Syzygies of the Veronese Modules ,
Ornella Greco and Ivan Martino, to appear in Communications in Algebra.
Green's Hyperplane restriction theorem: an
extension to modules , Ornella Greco, to appear in Journal of Pure and Applied Algebra.
The h-vector of the union of
two sets of points in the projective plane, Ornella Greco, Matey Mateev, Christof Söger,
published in Matematiche (Catania) 67 (2012), no. 1, 197222.
Factorization of a non-zero polynomial over an
Artinian, local, principal ideal ring, Ornella Greco, preprint;
three different definitions of irreducible element , Ornella Greco, preprint;
Unique and non unique factorization rings, master thesis, 2010;
Basi di Groebner e teoria dell'eliminazione, bachelor thesis, 2008.