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
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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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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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DOI: https://doi.org/10.1007/978-3-319-42312-8_15
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