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Local Chern classes, multiplicities, and perfect complexes

Paul Roberts

1989Mémoires de la Société mathématique de FranceMathematics被引 15开放获取

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摘要

We define an invariant associated to a homomorphism of free modules and show, first, that this generalizes the multiplicity in the sense of Samuel and, second, that in the situation we are considering, the local Chern character of a perfect complex can be defined in terms of this invariant. Some questions are raised as to the positivity of these numbers and connections with mixed multiplicities are described.

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Paul Roberts. Local Chern classes, multiplicities, and perfect complexes[J]. Mémoires de la Société mathématique de France, 1989.

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DOI:https://doi.org/10.24033/msmf.345

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