Titlebook: What is the Genus?; Patrick Popescu-Pampu Book 2016 Springer International Publishing Switzerland 2016 01A05, 14-03, 30-03, 55-03.Genus.Ri

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Riemann and the Birational Invariance of GenusAs 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.

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恩惠

AORTA

https://doi.org/10.1007/978-3-319-42312-801A05, 14-03, 30-03, 55-03; Genus; Riemann surfaces; Algebraic varieties; Homology; Riemann-Roch theorem

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Jakob Bernoulli and the Construction of Curves“mechanical” or “transcendental” curves, that is, curves which are not “algebraic” (defined by a polynomial equation). Those methods created a common framework for Descartes’ algebraic curves and for the curves furnished by the differential and integral calculus:

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APNEA

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