The speculation of neighborhood Chern characters utilized in commutative algebra originated in topology approximately thirty years in the past, and from there has been brought in algebraic geometry. This ebook describes the idea in an algebraic surroundings, featuring fresh examine effects and demanding algebraic functions, a few of which come from the author's personal paintings. It concentrates at the heritage in commutative algebra and homological algebra and describes the family members among those matters, together with huge discussions of the homological conjectures and of using the Frobenius map. will probably be quite necessary for graduate scholars and researchers.

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