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2 results

  • The Sebastiani–Thom Isomorphism in the Derived Category

  • David B. Massey
  • Journal:
    Compositio Mathematica / Volume 125 / Issue 3 / February 2001
    Published online by Cambridge University Press:
    04 December 2007, pp. 353-362
    Print publication:
    February 2001
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  • We prove that the Sebastiani–Thom isomorphism for Milnor fibres and their monodromies exists as a natural isomorphism between vanishing cycles in the derived category.

  • Complex monodromy and the topology of real algebraic sets

  • CLINT McCRORY, ADAM PARUSIŃSKI
  • Journal:
    Compositio Mathematica / Volume 106 / Issue 2 / April 1997
    Published online by Cambridge University Press:
    04 December 2007, pp. 211-233
    Print publication:
    April 1997
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  • A relation between the Euler characteristics of the Milnor fibres of a real analytic function is derived from a simple identity involving complex monodromy and complex conjugation. A corollary is the result of Coste and Kurdyka that the Euler characteristic of the local link of an irreducible algebraic subset of a real algebraic set is generically constant modulo 4. A similar relation for iterated Milnor fibres of ordered sets of functions is used to define topological invariants of ordered collections of algebraic subsets.