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  3. Multiplicities and Chern Classes in Local Algebra
  • Cited by 54
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    • Publisher:
      Cambridge University Press
      Publication date:
      September 2009
      May 1998
      ISBN:
      9780511529986
      9780521473163
      9780521065832
      DOI:
      https://doi.org/10.1017/CBO9780511529986
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.636kg, 320 Pages
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.47kg, 320 Pages
      • Subjects:
      Mathematics (general), Mathematics, Geometry and Topology, Algebra
      Series:
      Cambridge Tracts in Mathematics (133)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Geometry and Topology, Algebra
    Series:
    Cambridge Tracts in Mathematics (133)
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    Book description

    The theory of local Chern characters used in commutative algebra originated in topology some years ago, and from there was introduced in algebraic geometry. This book describes the theory in an algebraic setting, presenting research results and important algebraic applications, some of which come from the author's own work. It concentrates on the background in commutative algebra and homological algebra and describes the relations between these subjects, including extensive discussions of the homological conjectures and of the use of the Frobenius map.

    Reviews

    Review of the hardback:‘… a well-motivated survey of such a broad range of material, some of it quite technical, which leads the reader to the forefront of some of the deepest modern developments in Intersection Theory.’

    Source: Proceedings of the Edinburgh Mathematical Society

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