On the $(-1)$-curve conjecture of Friedman and Morgan

dc.creatorBrussee, Rogier
dc.date1992-09-12
dc.date1992-10-14
dc.date.accessioned2026-07-07T08:57:39Z
dc.date.available2026-07-07T08:57:39Z
dc.descriptionMain difference with previous version: we prove that every differentiably embedded sphere with self intersection $-1$ in a simply connected algebraic surface with $p_g >0$ is homologous to a $(-1)$-curve if $|K_{\min}|$ contains a smooth irreducible curve of genus at least 2 and $p_g$ is even or $K_{\min}^2 \not\equiv 7 \pmod8$ (here $K_{\min}$ is the canonical class of the minimal model).
dc.description13 pages, LaTeX 2.09
dc.identifierhttps://arxiv.org/abs/alg-geom/9209001
dc.identifierhttp://arxiv.org/abs/alg-geom/9209001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147050
dc.subjectAlgebraic Geometry
dc.titleOn the $(-1)$-curve conjecture of Friedman and Morgan
dc.typetext

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