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Even sets of four nodes on rational surfaces

Alberto Calabri, Ciro Ciliberto, Margarida Mendes Lopes

math.AGarXiv:math/0407250

Abstract

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 N1,...,N4, i.e. such that N1+...+N4 is divisible by 2 in Pic(X).

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