Publication: Clasificación de puntos dobles de superficies algebroides sumergidas
Loading...
Official URL
Full text at PDC
Publication Date
1981-02
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Universitat Autònoma de Barcelona
Citations
Exportar
Abstract
It is a well-known result that one can associate to each embedded algrebroid surfaces (E.A.S.), such that mult(s)=2, and algebroid curve c(v) (not necesarilly reduced). On the other hand, is [5] we associate to each E.A.S. W a finite weighted tree Ar (W). In this work we prove that if S and S' are E.A.S. with m(S) = m(S')= 2, then Ar(S')= Ar(S) if and only if C(S) and C(s') are equisingular as non-reduced curves.
Description
UCM subjects
Unesco subjects
Keywords
Citation
S. S. ABHYANKAR: Local rings of high embedding dimension, Amer. J. Math., 89 (1967), p.l073-1077
A. FRANCHETA: Sui punti doppi isolati delle superficie algebriche, Note I, Rend. Acad. dei Lincei, (1946), p. 49-57
D. KIRBY: The structure of an isolated multiple point of a surface I, Proc. London Math. Soc., ~ (1956), p. 597-609
H. LAUFER: On normal two - dimensional double point singularities, Israel J. Math., ~ (1978), p. 315-335
I. LUENGO: Sobre la estructura de las singularidades de superficies algebroides sumergidas, Monografías de Matemática del Inst. "Jorge Juan" del C.S.LC •• Madrid, 1980
O. ZARISKI: The reduction of the singularities of an algebraic surface, Ann. Math., 40 (1939), p. 639-689
O. ZARISKI: Contributions to the problem of equisingularity, en: Questions on Algebraic Varieties, C.I.M.E., Ed. Cremonese, Roma, 1970
O. ZARISKI y P. SAMUEL: Cornrnutative Algebra, van Nostrand, Princeton, 1960.