Global Sebastiani-Thom theorem for polynomial maps
نویسندگان
چکیده
منابع مشابه
Motivic Exponential Integrals and a Motivic Thom-sebastiani Theorem
1.1. Let f and f ′ be germs of analytic functions on smooth complex analytic varieties X and X ′ and consider the function f ⊕ f ′ on X × X ′ given by f ⊕ f (x, x) = f(x) + f (x). The Thom-Sebastiani Theorem classically states that the monodromy of f ⊕ f ′ on the nearby cycles is isomorphic to the product of the monodromy of f and the monodromy of f ′ (in the original form of the Theorem [18] t...
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The Thom-Boardman symbol was first introduced by Thom in 1956 to classify singularities of differentiable maps. It was later generalized by Boardman to a more general setting. Although the Thom-Boardman symbol is realized by a sequence of non-increasing, nonnegative integers, to compute those numbers is, in general, extremely difficult. In the case of polynomial multiplication maps, Robert Varl...
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Let f : X → C and g : Y → C be analytic functions. Let π1 and π2 denote the projections of X×Y onto X and Y , respectively. In [S-T], Sebastiani and Thom prove that the cohomology of the Milnor fibre of f ◦ π1 + g ◦ π2 is isomorphic to the tensor product of the cohomologies of the Milnor fibres of f and g (with a shift in degrees); they prove this in the case where X and Y are smooth and f and ...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1991
ISSN: 0025-5645
DOI: 10.2969/jmsj/04320213