Luengo Velasco, Ignacio (1985) An example concerning a question of Zariski. Bulletin de la Société Mathématique de France , 113 (4). pp. 379-386. ISSN 0037-9484
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Official URL: http://www.numdam.org/item?id=BSMF_1985__113__379_0
Abstract
In this paper we present an example of a family of surface singularities which is Zariski-equisingular for a transversal projection, but it is not Zariski-equisingular for a generic projection.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Milnor number; Equisingular family |
| Subjects: | Sciences > Mathematics > Algebra |
| ID Code: | 16909 |
| References: | Briançon(J.) et Henry (J.-P. G.). — Equisingularité générique des familles des surfaces à singularités isolées, Bull. Soc. Math. Fr., vol. 108, 1980, p. 260-284. Briançon(J.) et Speder (J.-P.). — Familles équisingulières de surfaces à singularité isolée, C.R. Acad. Sc., t. 280, série A, 1975, p. 1013-1016. Briançon(J.) et Speder (J.-P.). — Familles équisingulières d'hypersurfaces à singularité isolée, Thèse 2e partie, Nice, 1976. Teissier (B.). — Proof that Zariski dimensional type can be computed with linear projections, when it is 2. Notes of Lectures at the Harvard Singularities Seminar. 1981. Zariski (O.). — Some open question in the theory of singularities, Bull. A.M.S., vol. 77, n° 4, 1971, p. 481-491. Zariski (O.). — On the elusive concept of equisingularity, Symposium in Honor to J. Silvester, Johns Hopkins Univ. Press, Baltimore, 1978. Zariski(O.). — Foundations of a general theory of equisingularity on r-dimensional algebroid and algebraic varieties embedding dimension r + 1, Amer. J. Math., 101, 2, 1979, p. 453-514. |
| Deposited On: | 29 Oct 2012 11:52 |
| Last Modified: | 29 Oct 2012 11:52 |
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