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A generating function for rational curves on rational surfaces (Q1281660)

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scientific article; zbMATH DE number 1268066
Language Label Description Also known as
English
A generating function for rational curves on rational surfaces
scientific article; zbMATH DE number 1268066

    Statements

    title
    A generating function for rational curves on rational surfaces (English)
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    author
    Fumio Hazama
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    publication date
    11 October 1999
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    review text
    Let \(S\) be a rational surface. The author presents some generating functions for the number of algebraic equivalence classes of divisors on \(S\), with arithmetic genus \(0\) and fixed degree with respect to some very ample polarisation. In particular the cases of ruled and Del Pezzo surfaces are considered.
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    zbMATH Keywords
    rational curves
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    rational surface
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    generating divisors
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    very ample polarisation
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    ruled surfaces
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    Del Pezzo surfaces
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    cites work
    Q4143433
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    Q3705555
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    Q3147015
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    Identifiers

    Mathematics Subject Classification ID
    14J26
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    14C20
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    14H25
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    zbMATH DE Number
    1268066
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    OpenAlex ID
    W1985078419
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    DOI
    10.3792/PJAA.74.101
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