Summary
Here we study the restriction to suitable curves of certain vector bundles on projective varieties. We handle in particular: (a) the descent of a vector bundle for the contraction of an extremal ray on a smooth 3-fold (using Mori theory); (b) the stability or semistability (in any characteristic) of certain homogeneus vector bundles on Pn and their restriction to suitable subvarieties.
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Ballico, E. On the restriction of vector bundles to good families of curves. Annali di Matematica pura ed applicata 167, 101–116 (1994). https://doi.org/10.1007/BF01760330
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DOI: https://doi.org/10.1007/BF01760330