|
Conormal differential forms of an analytic germ
Author(s):
Robert
Gassler
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2619-2623.
MSC (1991):
Primary 14B99, 14K20, 14F10
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
A differential form vanishing on the tangent space at smooth points of a reduced embedded analytic germ is called conormal. To prove that a conormal one--form of a hypersurface vanishes at its singularities, we state a Bertini--type theorem.
References:
- [Fl]
- H. Flenner, Die Sätze von Bertini für lokale Ringe, Math. Ann. 229 (1977), 97--111. MR 57:311
- [J]
- J.P. Jouanalou, Théorèmes de Bertini et Applicationes, Birkhäuser, 1983. MR 86b:13007
- [L]
- K. Lebelt, Torsion äußerer Potenzen von Moduln der homologischen Dimension 1, Math. Ann 211 (1974), 183--197. MR 51:8092
- [R]
- H. Rossi, Vector fields on Analytic Spaces, Ann. of Math. 78 (1963), 455--467. MR 29:277
- [T]
- B. Teissier, Cycles evanescents, sections planes et condition de Whitney, Asterisque 7-8 (1973), 285--362. MR 51:10682
- [V]
- U. Vetter, Äußere Potenzen von Differentialmoduln reduzierter vollständiger Durchschnitte, Manuscripta Math. 2 (1970), 67--75. MR 42:255
- [Wh]
- H. Whitney, Tangents to an Analytic Variety, Ann. Math. 81 (1965), 496--549. MR 33:745
- [Y]
- S. S.-T. Yau, Various Numerical Invariants for Isolated Singularities, Amer. J. Math. 104 (1982), 1063--1100. MR 84b:32012
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
14B99, 14K20, 14F10
Retrieve articles in all Journals with MSC
(1991):
14B99, 14K20, 14F10
Additional Information:
Robert
Gassler
Affiliation:
Department of Mathematics, 567 Lake, Northeastern University, Boston, Massachusetts 02115
Email:
gassler@neu.edu
DOI:
10.1090/S0002-9939-96-03542-3
PII:
S 0002-9939(96)03542-3
Received by editor(s):
February 23, 1995
Communicated by:
Eric Friedlander
Copyright of article:
Copyright
1996,
American Mathematical Society
|
Comments: webmaster@ams.org