Even sets of four nodes on rational surfaces

Details Even sets of four nodes on rational surfaces Even sets of four nodes on rational surfaces

2004-07-14

arxiv.org/abs/math/0407250v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

We describe smooth rational projective algebraic surfaces X, over an
algebraically closed field of characteristic different from 2, having an even
set of four disjoint (-2)-curves N_1,...,N_4, i.e. such that N_1+...+N_4 is
divisible by 2 in Pic(X).

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