Atsushi Noma
Restrictions of rank-2 semistable vector bundles on surfaces in positive characteristic

We work over an algebraically closed field of positive characteristic. Let E be a semistable rank-2 vector bundle with respect to a very ample line bundle O(1) on a smooth projective surface. The purpose here is to give an effective bound d₀ such that if d >= d₀ the restriction of E to a general member C in |O(d)| is semistable.