Intersection multiplicities of Noetherian functions
نویسندگان
چکیده
منابع مشابه
Multiplicity of a Noetherian Intersection
A differential ring of analytic functions in several complex variables is called a ring of Noetherian functions if it is finitely generated as a ring and contains the ring of all polynomials. In this paper, we give an effective bound on the multiplicity of an isolated solution of a system of n equations fi = 0 where fi belong to a ring of Noetherian functions in n complex variables. In the one-...
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Let A be a regular local ring containing 1/2, which is either equicharacteristic, or is smooth over a d.v.r. of mixed characteristic. We prove that the product maps on derived Grothendieck-Witt groups of A satisfy the following property: given two elements with supports which do not intersect properly, their product vanishes. This gives an analogue for “oriented intersection multiplicities” of ...
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Multiplicities of ideals are useful invariants, which in good rings determine the ideal up to integral closure. Mixed multiplicities are a collection of invariants of several ideals, generalizing multiplicities, and capturing some information on the interactions among ideals. Teissier and Risler [Tei73] were the first to develop mixed multiplicities, in connection with Milnor numbers of isolate...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2012
ISSN: 0001-8708
DOI: 10.1016/j.aim.2012.08.011