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

Atsushi Noma

Vol. 189 (1999), No. 1, 153–158

DOI: 10.2140/pjm.1999.189.153

Abstract

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 ∈|𝒪(d)| is semistable.

Milestones

Received: 21 July 1997

Revised: 10 March 1998

Published: 1 May 1999