Amir SHEHZAD, Muhammad Ahsan BÜNYAMİN, Hafiz Muhammad Afzal SİDDİQUİ

6799

A combinatorial approach to the classi cation of resolution graphs of weighted homogeneous plane curve singularities

A combinatorial approach to the classi cation of resolution graphs of weighted homogeneous plane curve singularities

In this article we describe the classication of the resolution graphs of weighted homogeneous plane curve singularities in terms of their weights by using the concepts of graph theory and combinatorics. The classication shows that the resolution graph of a weighted homogeneous plane curve singularity is always a caterpillar
PDF

___

  • Arnold, V. I.; Gusein-Zade, S. M.; Varchenko,A. N. Singularities of Di erentiable Maps, Volume I, Birkh‰user, Boston Basel Berlin (1985).
  • Cutkosky, S. D. and Srinivasan, H.; The algebraic fundamental group of a curve singularity , Journal of Algebra 230, 101-126, (2000).
  • De Jong, T. and P ster, G.; Local Analytic Geometry , Vieweg (2000).
  • Jingen, Y.; Curve Singularities and Graphs , Acta Mathematica Sinica, 6 (1), 87-96, (1990).
  • Koll·r, J.; Lectures on Resolution of Singularities , Princeton University Press (2007).
  • Kang, C.; Analytic Types of Plane Curve Singularities de ned by Weighted Homogeneous Polynomials, Trans. A.M.S. 352 (9), 3995-4006, (2000).
  • Muhly, H.T. and Zariski, O.; The Resolution of Singularities of an Algebraic curve , Amer.J.Math., 61 (1), 107-114, (1939).
  • Saito, K.; Quasihomogene isolierte singularit‰ten von hyper ‰chen , Invent. Math. 14, 123-142, (1971).
  • Wall, C.T.C.; Singular Points of Plane Curves , Cambridge University Press (2004).
Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
Arşiv
Sayıdaki Diğer Makaleler

Liugen XUE, Juanfang LİU, Ruiqin TİAN

Vali ZARDASHT

Faqir MUHAMMAD, M. Kazim KHAN

Raghunath ARNAB, Antonio ARCOS

On the optimal search for e cient estimators of population mean in simple random sampling in the presence of an auxiliary variable

Ekaette Inyang ENANG, Emmanuel John EKPENYONG

Reza SALEHİ, Ali SHADROKH

Mehmet Ali BALCI

Mehmet ÜNVER, Sevda SAĞİROĞLU

Ekaette İnyang ENANG, Emmanuel John EKPENYONG

On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable

Ekaette İnyang ENANG, Emmanuel John EKPENYONG