منابع مشابه
Generic Flatness and the Jacobson Conjecture
A result of Artin, Small, and Zhang is used to show that a noetherian algebra over a commutative, noetherian Jacobson ring will be Jacobson if the algebra possesses a locally finite, noetherian associated graded ring. This result is extended to show that if an algebra over a commutative noetherian ring has a locally finite, noetherian associated graded ring, then the intersection of the powers ...
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We consider a general fibre of given length in a generic projection of a variety. Under the assumption that the fibre is of local embedding dimension 2 or less, an assumption which can be checked in many cases, we prove that the fibre is reduced and its image on the projected variety is an ordinary multiple point. The study of generic linear projections of a smooth projective variety X ⊂ PN, es...
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In the paper [4] Montaldi proves a powerful transversality result which has a number of applications to the study of the generic geometry of submanifolds of Euclidean or projective space. As a typical application one can consider the contact of surfaces with spheres in Euclidean 3-space and describe the singularities that occur generically and, consequently, the local structure of the focal and...
متن کاملOn Fundamental Groups of Galois Closures of Generic Projections
We study the fundamental group of the Galois closure Xgal of a generic projection from a surface X. Originally, it was believed that π1(Xgal) gives rise to new invariants of X. However, in all examples this group is surprisingly simple. In this article, we offer an explanation for this phenomenon: We compute a quotient of π1(Xgal) that depends on π1(X) and data from the generic projection only....
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The theorem of Mather on generic projections of smooth algebraic varieties is also proved for the singular ones. jet spaces, generic projections. primary 32C40; secondary 14B05, 14N05.
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1994
ISSN: 0747-7171
DOI: 10.1006/jsco.1994.1058