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The Riemann-Roch theorem and Bernoulli polynomials - MaRDI portal

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The Riemann-Roch theorem and Bernoulli polynomials (Q1085223)

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scientific article; zbMATH DE number 3981327
Language Label Description Also known as
English
The Riemann-Roch theorem and Bernoulli polynomials
scientific article; zbMATH DE number 3981327

    Statements

    title
    The Riemann-Roch theorem and Bernoulli polynomials (English)
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    author
    Tetsuya Ando
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    publication date
    1985
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    review text
    The author states a formula which represents the Euler-Poincaré polynomial \(\chi (tK_ X)\) of a canonical line bundle on a nonsingular algebraic variety X in terms of the Chern classes and the Todd class of X and the Bernoulli polynomials in t. The proof makes use of the Hirzebruch Riemann-Roch formula.
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    zbMATH Keywords
    Euler-Poincaré polynomial
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    canonical line bundle
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    Chern classes
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    Todd class
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    Bernoulli polynomials
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    Hirzebruch Riemann-Roch formula
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    Identifiers

    Mathematics Subject Classification ID
    14C40
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    57R20
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    14F45
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    zbMATH DE Number
    3981327
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    OpenAlex ID
    W1996812558
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    DOI
    10.3792/PJAA.61.161
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