The irreducibility of the spaces of rational curves on del Pezzo surfaces

نویسنده

  • Damiano Testa
چکیده

Let X be a del Pezzo surface of degree d, and assume that X is general if d = 1. We prove that the spaces M0,0 ( X, β ) are either empty or irreducible, if (d, β) 6= (1,−KX). When (d, β) = (1,−KX) it is well known that M0,0 ( X, β ) consists of twelve reduced points.

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تاریخ انتشار 2008