On the bifurcation of the multiplicity and topology of the Newton boundary
Mutsuo Oka,Mutsuo Oka +1 more
Reads0
Chats0
About:
This article is published in Journal of The Mathematical Society of Japan.The article was published on 1979-07-01 and is currently open access. It has received 63 citations till now. The article focuses on the topics: Transcritical bifurcation & Saddle-node bifurcation.read more
Citations
More filters
Journal ArticleDOI
On the bifurcation set of a polynomial function and Newton boundary
András Némethi,Alexandru Zaharia +1 more
TL;DR: In this paper, the authors gave an explicit set Sf such that Bf^Sf\JSf. More specifically, they proved that Sf contains all critical values of the polynomial function with non-degenerate Newton principal part at infinity (hence Bf=If).
MonographDOI
The Zariski-Lefschetz principle for higher homotopy groups of nongeneric pencils
TL;DR: In this article, a general Zariski-van Kampen-Lefschetz type theorem for higher homotopy groups of generic and nongeneric pencils on singular open complex spaces was proved.
Journal ArticleDOI
Topology at infinity of polynominal mappings and Thom regularity condition
Mihai Tibăr,Mihai Tibăr +1 more
TL;DR: In this article, the authors consider polynomial mappings which have atypical fibres due to the asymptotic behavior at infinity and study the localizability at infinity of the variation of topology of fibres and the possibility of interpreting local results at infinity into global results.
References
More filters
Book
Singular points of complex hypersurfaces
TL;DR: The Singular Points of Complex Hypersurfaces (AM-61) as mentioned in this paper is a seminal work in the area of complex hypersurfaces, and is based on as mentioned in this paper.
Book
Analytic functions of several complex variables
Robert C. Gunning,Hugo Rossi +1 more
TL;DR: The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century after initial successes by Poincare and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable as discussed by the authors.
Book
Analytic functions of several complex variables
Carl Ludwig Siegel,P. T. Bateman +1 more
TL;DR: In this article, the authors discuss the properties of holomorphic functions of complex vectors in more detail, including their properties with respect to their properties in the context of complex vector models.
Book ChapterDOI
Tangents to an Analytic Variety
TL;DR: In this article, the authors studied the structure of the sets of tangent vectors and tangent planes to a complex analytic variety, particularly in the neighborhood of singular points of the variety.