Bend, break and count |
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Authors: | Ziv Ran |
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Affiliation: | (1) Department of Mathematics, University of California, Riverside, 92521 Riverside, CA, USA |
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Abstract: | This paper gives a formula for the number of members of a given ‘nice’ family of rational curves on a surface passing through the appropriate number of general points, expressing this number in terms of reducible members of the family. Similar formulae have been obtained previously using methods of quantum cohomology, but the present method is by contrast completely elementary, relying merely on some simple geometry on ruled surfaces. |
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