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Projections of generic surfaces of revolution

โœ Scribed by J. H. Rieger


Publisher
Springer
Year
1993
Tongue
English
Weight
899 KB
Volume
48
Category
Article
ISSN
0046-5755

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Abdallah Assi ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 497 KB

Let \(R\) be a commutative noetherian ring and let \(I\) be an ideal of \(R\left[x_{1}, \ldots, x_{n}\right]=R[x]\). The morphism \(\psi: R \longmapsto R[x] / I\) defines a family of algebraic varieties as follows: Let \(p\) be a prime ideal of \(R\) (or an element of \(\operatorname{Spec} R\) ) and

Variation of Ramification Loci of Generi
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A b s t r a c t . Let. A' P N = P i be a subvariety of dimension n and A P N be a generic linear subspace of dimension Nk -1 with k 2 n. Then the linear projection TI\ : X -+ P' is a finite map. Let R(x,j) be its ramification locus. In this paper we study the map from the Grassmannian G ( Nk -1, N )

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Generic smooth maps of surfaces
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Algorithms are developed for approximation of surfaces of revolution by parts of cones and cylinders. The method can be extended to other surfaces generated by moving a planar curve. The main idea is to use the offset curves with an offset ฯฎ of a given planar curve for controlling the approximation