Multiplicities and Chern Classes in Local Algebra

The theory of local chern characters used in commutative algebra originated in topology, and was then introduced in algebraic geometry. This work describes the ... » 

The theory of local chern characters used in commutative algebra originated in topology, and was then introduced in algebraic geometry. This work describes the theory in an algebraic setting, presenting research results and algebraic applications, some of which come from the author's own work. «