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Even sets of four nodes on rational surfaces

By A. Calabri, C. Ciliberto and M. Mendes Lopes

Abstract

We describe smooth rational projective algebraic surfaces X, over an\ud algebraically closed field of characteristic different from 2, having an even set of\ud four disjoint (-2)-curves, i.e. such that the sum of the four curves is divisible by\ud 2 in the Picard group of X

Topics: rational surface, node, nodal curve, even sets of nodes
Year: 2004
OAI identifier: oai:iris.unife.it:11392/1401225
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