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Riemann and the Birational Invariance of Genus

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

Abstract

As explained in the previous chapter, although Riemann developed a very topological vision of surfaces, he did not forget that his fundamental examples came from algebraic functions and their integrals.

Keywords

  • Birational Invariants
  • Fundamental Example
  • Algebraic Functions
  • Irreducible Algebraic Equation
  • Birational Equivalence

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. B. Riemann, Theorie der Abelschen Functionen. J. Reine Angew. Math. 54, 115–155 (1857). French translation: Théorie des fonctions abéliennes. Dans Œuvres mathématiques de Riemann, transl. L. Laugel (Gauthier-Villars, Paris, 1898), pp. 89–164. Reprinted by J. Gabay, Sceaux, 1990

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© 2016 Springer International Publishing Switzerland

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Popescu-Pampu, P. (2016). Riemann and the Birational Invariance of Genus. In: What is the Genus?. Lecture Notes in Mathematics(), vol 2162. Springer, Cham. https://doi.org/10.1007/978-3-319-42312-8_15

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