Abstract
In this chapter we will continue in the direction suggested by Sections 4 and 5 of the previous chapter: that is, we will try to solve some of the enumerative problems that arise in the theory of curves and linear systems. While this is in some sense a quantitative approach, qualitative results may also emerge. For example, the answer to the enumerative question: “How many g r d ’s does a curve C possess” (Theorem (4.4) in Chapter VII) implies the existence theorem (Theorem (2.3) in Chapter VII).
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© 1985 Springer Science+Business Media New York
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Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J. (1985). Enumerative Geometry of Curves. In: Geometry of Algebraic Curves. Grundlehren der mathematischen Wissenschaften, vol 267. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5323-3_8
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DOI: https://doi.org/10.1007/978-1-4757-5323-3_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2825-2
Online ISBN: 978-1-4757-5323-3
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