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The Riemann–Roch–Hirzebruch Theorem

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What is the Genus?

Part of the book series: Lecture Notes in Mathematics ((HISTORYMS,volume 2162))

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Abstract

Let us come back to the Riemann–Roch problem in higher dimensions.

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References

  1. M. Atiyah, Obituary: John Arthur Todd. Bull. Lond. Math. Soc. 30, 305–316 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  2. J. Dieudonné, A History of Algebraic and Differential Topology 1900–1960 (Birkhäuser, Boston/Basel, 1989)

    MATH  Google Scholar 

  3. F.E.P. Hirzebruch, On Steenrod’s reduced powers, the index of inertia, and the Todd genus. Proc. Natl. Acad. Sci. 39, 951–956 (1953)

    Article  MathSciNet  MATH  Google Scholar 

  4. F.E.P. Hirzebruch, Arithmetic genera and the theorem of Riemann–Roch for algebraic varieties. Proc. Natl. Acad. Sci. 40, 110–114 (1954)

    Article  MathSciNet  MATH  Google Scholar 

  5. F.E.P. Hirzebruch, The signature theorem: reminiscences and recreation, in Prospects in Mathematics. Annals of Mathematics Studies, vol. 70 (Princeton University Press, Princeton, 1971), pp. 3–31

    Google Scholar 

  6. F.E.P. Hirzebruch, Topological Methods in Algebraic Geometry (Springer, New York, 1978). Translation by R.L.E. Schwarzenberger of the German edition of 1962

    Google Scholar 

  7. F.E.P. Hirzebruch, M. Kreck, On the concept of genus in topology and complex analysis. Notices A.M.S. 56 (6), 713–719 (2009)

    Google Scholar 

  8. J.-P. Serre, Un théorème de dualité. Commun. Math. Helv. 29 (1), 9–26 (1955). Republished in Œuvres I (Springer, New York, 2003), pp. 292–309

    Google Scholar 

  9. J.A. Todd, The arithmetical invariants of algebraic loci. Proc. Lond. Math. Soc. 43, 190–225 (1938)

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. UFR de Mathématiques, Université Lille 1, Villeneuve d’Ascq, France

    Patrick Popescu-Pampu

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  1. Patrick Popescu-Pampu
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Popescu-Pampu, P. (2016). The Riemann–Roch–Hirzebruch Theorem. In: What is the Genus?. Lecture Notes in Mathematics(), vol 2162. Springer, Cham. https://doi.org/10.1007/978-3-319-42312-8_49

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