Even sets of four nodes on rational surfaces
classification
🧮 math.AG
keywords
evenfourrationalsurfacesalgebraicalgebraicallycharacteristicclosed
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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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