On Fano 4-folds of index 1 and homogeneous vector bundles over Grassmannians.
Compactifications of C2 x C*.
Ample line bundles on blown up surfaces.
Multiple point Seshadri constants and the dimension of adjoint linear series
In this note multiple point Seshadri constants measuring the positivity of ample line bundles on complex projective varieties at a finite number of points are defined. A lower bound which is asymptotically optimal for a large number of points is proven for the constant at very general points. As an application estimates on the number of sections in adjoint linear systems are deduced.
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