In this paper, we will give some geometric results using generic initial ideals for the degree reverse lex order. The first application is to the regularity of a Cohen-Macaulay algebra, and we… (More)

Let X be a reduced closed scheme in P and let IX be its saturated defining ideal. As a generalization of property Np due to Green-Larzarsfeld, we say that X satisfies property N2,p if IX has only the… (More)

BACKGROUND
The anterolateral thigh flap has gained popularity over the last few decades for the reconstruction of various surgical defects. The anatomy of the main perforating vessel of the… (More)

Abstract. In this paper we investigate some algebraic and geometric consequences which arise from an extremal bound on the Hilbert function of the general hyperplane section of a variety (Green’s… (More)

For a given term order, the degree complexity of a projective scheme is defined by the maximal degree of the reduced Gröbner basis of its defining saturated ideal in generic coordinates [2]. It is… (More)

Let X be a reduced closed subscheme in P. As a slight generalization of property Np due to Green-Lazarsfeld, we can say that X satisfies property N2,p scheme-theoretically if there is an ideal I… (More)