Abstract
As was explained by Cauchy in the excerpt of the paper [37] discussed in the previous chapter, if one takes a path which comes back to its starting point
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
This may always be arranged by the so-called Weierstrass preparation theorem (see [25]).
References
E. Brieskorn, H. Knörrer, Plane Algebraic Curves (Birkhäuser Verlag, Boston, 1986). Translation by J. Stillwell of the first German edition of 1981
A.L. Cauchy, Considérations nouvelles sur les intégrales définies qui s’étendent à tous les points d’une courbe fermée, et sur celles qui sont prises entre des limites imaginaires. C.R. Acad. Sci. Paris 23, 689–702 (1846).
G. Fischer, Plane Algebraic Curves. Student Mathematical Library, vol. 15 (American Mathematical Society, Providence, RI, 2001). Translated from the 1994 German original by L. Kay
V. Puiseux, Recherches sur les fonctions algébriques. J. Math. Pures Appl. (Journ. de Liouville) 15, 365–480 (1850)
C.T.C. Wall, Singular Points of Plane Curves. London Mathematical Society Student Texts, vol. 63 (Cambridge University Press, Cambridge, 2004)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Popescu-Pampu, P. (2016). Puiseux and the Permutations of Roots. In: What is the Genus?. Lecture Notes in Mathematics(), vol 2162. Springer, Cham. https://doi.org/10.1007/978-3-319-42312-8_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-42312-8_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-42311-1
Online ISBN: 978-3-319-42312-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)