The Segre-Gimigliano-Harbourne-Hirschowitz Conjecture can be naturally formulated for Hirzebruch surfaces Fn. We show that this Conjecture holds for imposed base points of equal multiplicity boundedâ€¦ (More)

The main goal of this paper is to present a new algorithm bounding the regularity and â€˜â€˜alphaâ€™â€™ (the lowest degree of existing hypersurface) of a linear system of hypersurfaces in Pn passing throughâ€¦ (More)

Applicable Algebra in Engineering, Communicationâ€¦

2007

The main goal of the paper is to find an effective estimation for the minimal number of points in $${\mathbb{K}}^{2}$$ in general position for which the basis for Hermite interpolation consists ofâ€¦ (More)

The main goal of this paper is to present a new algorithm bounding the regularity and " alpha " (the lowest degree of existing hypersurface) of a linear system of hypersurfaces (in P n) passingâ€¦ (More)

In the paper we generalize a fibre criterion for a polynomial f to belong to a primary ideal I in the polynomial ring K[X, Y ]. We also investigate the general case where the ideal I is not primary.â€¦ (More)

In the paper we prove the containment I (nm) âŠ‚ M (nâˆ’1)m I m , for a radical ideal I of s general points in P n , where s â‰¥ 2 n. As a corollary we get that the Chudnovsky Conjecture holds for a veryâ€¦ (More)