Puiseux Expansion of a Cuspidal Singularity

• Autorzy: Borodzik M.

Identyfikatory

DOI

10.4064/ba60-1-2

• Języki publikacji: EN

Abstrakty

EN

We present an effective and elementary method of determining the topological type of a cuspidal plane curve singularity with given local parametrization.

Słowa kluczowe

EN

plane curve singularity; Puiseux expansion; characteristic sequence

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: Vol. 60, no 1
• Strony: 21--25
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Borodzik M.

• Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland

Bibliografia

• [Bo] M. Borodzik, Puiseux coefficients and parametric deformations of plane curve singularities, arXiv:0909.4469.
• [BZ] M. Borodzik and H. Zoładek, Geometry of Puiseux expansions, Ann. Polon. Math. 93 (2008), 263–280.
• [BK] E. Brieskorn and H. Knörrer, Plane Algebraic Curves, Birkhäuser, Basel, 1986.
• [M2] D. Grayson and M. Stillman, Macaulay2, a software system for research in algebraic geometry, http://www.math.uiuc.edu/Macaulay2/.
• [Wa] C. T. C. Wall, Singular Points of Plane Curves, London Math. Soc. Student Texts 63, Cambridge Univ. Press, Cambridge, 2004.
• [Za] O. Zariski, On the topology of algebroid singularities, Amer. J. Math. 54 (1932), 453–465.