In complex analysis, a branch of mathematics, the ThomâSebastiani Theorem states: given the germ defined as where are germs of holomorphic functions with isolated singularities, the vanishing cycle complex of is isomorphic to the tensor product of those of . [1] Moreover, the isomorphism respects the monodromy operators in the sense: . [2]
The theorem was introduced by Thom and Sebastiani in 1971. [3]
Observing that the analog fails in positive characteristic, Deligne suggested that, in positive characteristic, a tensor product should be replaced by a (certain) local convolution product. [2]
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In complex analysis, a branch of mathematics, the ThomâSebastiani Theorem states: given the germ defined as where are germs of holomorphic functions with isolated singularities, the vanishing cycle complex of is isomorphic to the tensor product of those of . [1] Moreover, the isomorphism respects the monodromy operators in the sense: . [2]
The theorem was introduced by Thom and Sebastiani in 1971. [3]
Observing that the analog fails in positive characteristic, Deligne suggested that, in positive characteristic, a tensor product should be replaced by a (certain) local convolution product. [2]
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cite journal}}
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help)
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cite journal}}
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help)