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Linear systems of rational curves on rational surfaces

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Daigle, Daniel and Melle Hernández, Alejandro (2012) Linear systems of rational curves on rational surfaces. Moscow Mathematical Journal, 12 (2). pp. 261-268. ISSN 1609-3321

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Official URL: http://www.ams.org/distribution/mmj/vol12-2-2012/daigle-melle-hernandez.pdf


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Abstract

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 a
rational 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


Item Type:Article
Uncontrolled Keywords:rational curves; rational surfaces; linear systems; weighted cluster of singular points
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:20763
Deposited On:12 Apr 2013 13:24
Last Modified:27 Jun 2018 11:28

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