Seshadri constants and very ample divisors on algebraic surfaces

Details Seshadri constants and very ample divisors on algebraic surfaces Seshadri constants and very ample divisors on algebraic surfaces

2001-03-05

arxiv.org/abs/math/0103029v2

Mathematics

Algebraic Geometry

18 pages, plainTeX; reasons for replacement: Improved comparisons (Prop. I.2, Cor III.5), improved results in special cases (P

Scientific paper

A broadly applicable geometric approach for constructing nef divisors on blow ups of algebraic surfaces at n general points is given; it works for all surfaces in all characteristics for any n. This construction is used to obtain substantial improvements for currently known lower bounds for n point Seshadri constants. Remarks are included about a range of applications to classical problems involving linear systems on P2.

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