The idea 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 e-book describes the idea in an algebraic atmosphere, providing fresh study effects and demanding algebraic purposes, a few of which come from the author's personal paintings. It concentrates at the historical past in commutative algebra and homological algebra and describes the relatives among those matters, together with vast discussions of the homological conjectures and of using the Frobenius map. will probably be rather priceless for graduate scholars and researchers.
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