Classification of simple space curve singularities

Communications in Algebra

Volumn 27, Issue 8, 1999, Pages 3993-4013

  Frühbis Krüger, Anne ^a  

^a Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039132824     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879908826678     Document Type: Article

References (19)

1. Arnold, V., Gusein-Zade, S., Varchenko, A.: Singularities of Differentiable Maps I, Birkhäuser (1985)
2. Arnold, V.: Normal Forms for Functions near degenerate Critical Points, Funct.Anal.Appl. 6, 254-272 (1972)
3. Artin, M.: Lectures on Deformations of Singularities, Tata Institute of Fundamental Research, Bombay (1976)
4. Artin, M.: On the solutions of analytic equations, Invent.Math. 5, 277-291 (1968)
5. Buchsbaum, D.A., Eisenbud, D.: What makes a complex exact?, J.Algebra 25, 259-263 (1973)
6. Buchweitz, R., Greuel, G.: The Milnor Number and Deformations of Complex Curve Singularities, Invent.Math. 58, 241-281 (1980)
7. Ebey, S.: The Classification of Singular Points of Algebraic Curves, Trans.Am.Math.Soc. 118, 454-471 (1965)
8. Eisenbud, D.: Commutative Algebra with a view towards Algebraic Geometry, Springer-Verlag (1995)
9. Gibson, C., Hobbs, C.: Simple Singularities of Space Curves, Math.Proc.Camb.Philos.Soc. 113, 297-310 (1993)
10. Giusti, M.: Classification des singularités isolées simples d'intersections complétes, Proc.Symp.Pure Math. 40, 457-494 (1983)
11. Grauert, H.: Über die Deformationen isolierter Singularitäten analytischer Mengen, Invent.Math. 15, 171-198 (1972)
12. Greuel, G.: On deformation of curves and a formula of Deligne, Algebraic Geometry (Proceedings,La Rabida), Springer, 141-168 (1981)
13. Hartshorne, R.: Algebraic Geometry, Springer-Verlag, (1977)
14. Hironaka, H.: On the equivalence of Singularities I, Arithmetical Algebraic Geometry (Proceedings), Harper&Row (1963)
15. Matsumura, H.: Commutative Ring Theory, Cambridge University Press (1986)
16. Matsumura, H.: Commutative Algebra, Mathematics Lecture Notes Series 56 (1969)
17. Stevens, J.: unpublished letter to D. van Straten (1988)
18. Stevens, J.: On the Classification of Reducible Curve Singularities, Algebraic Geometry and Singularities, Birkhäuser (1996)
19. van Straten, D.: talk about approximation theorems, Oberseminar Sommersemester 1995, Universität Kaiserslautern