Thom–Sebastiani Theorem

id: thom-sebastiani-theorem-298-13126028
title: Thom–Sebastiani Theorem
text: In complex analysis, a branch of mathematics, the Thom–Sebastiani Theorem states: given the germ f : → defined as f = f 1 + f 2 where f i are germs of holomorphic functions with isolated singularities, the vanishing cycle complex of f is isomorphic to the tensor product of those of f 1 , f 2 . Moreover, the isomorphism respects the monodromy operators in the sense: T f 1 ⊗ T f 2 = T f . The theorem was introduced by Thom and Sebastiani in 1971. Observing that the analog fails in positive charact
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original url: https://en.wikipedia.org/wiki/Thom%E2%80%93Sebastiani_Theorem
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date modified: 2023-12-27T02:58:42Z
main entity: {"identifier":"Q113561117","url":"https://www.wikidata.org/entity/Q113561117"}
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