RT Journal Article T1 Linear systems of rational curves on rational surfaces A1 Daigle, Daniel A1 Melle Hernández, Alejandro AB Given a curve C on a projective nonsingular rational surface S, over an algebraically closed eld of characteristic zero, we are interested in the set C of linear systems L on S satisfying C 2 L, dimL 1, and the general member of L is arational curve. The main result of the paper gives a complete description of C and, in particular, characterizes the curves C for which C is non empty PB Independent University of Moscow SN 1609-3321 YR 2012 FD 2012 LK https://hdl.handle.net/20.500.14352/43743 UL https://hdl.handle.net/20.500.14352/43743 LA eng NO NSERC Canada NO MTM DS Docta Complutense RD 21 abr 2025