On Form Ideals and Artin-Rees Condition.
On some algebraic and geometric extension of the theory of adjoints
Some properties of stable rank 2 bundles on algebraic surfaces.
A look into the Severi varieties of curves in higher codimension.
On the dimension of secant varieties
In this paper we generalize Zak’s theorems on tangencies and on linear normality as well as Zak’s definition and classification of Severi varieties. In particular we find sharp lower bounds for the dimension of higher secant varieties of a given variety under suitable regularity assumptions on , and we classify varieties for which the bound is attained.
ACM bundles on general hypersurfaces in P of low degree.
In this paper we show that on a general hypersurface of degree r = 3,4,5,6 in P a rank 2 vector bundle ε splits if and only if hε(n) = hε(n) = 0 for all n ∈ Z. Similar results for r = 1,2 were obtained in [15], [16] and [2].
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