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Titlebook: Cohomology of Sheaves; Birger Iversen Textbook 1986 Springer-Verlag Berlin Heidelberg 1986 Characteristic class.Chern class.Homotopy.cohom

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Characteristic Classes,In this section we consider a fixed commutative ring k. Let us recall that the inclusion i: Z → X of a closed subspace gives rise to two functors . which are mutually adjoints . The functor i. is left exact and carries injectives into injectives. We shall study the derived functor R.i., p ∈ℤ.
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Application to Algebraic Geometry,In this chapter we shall give an introduction to the topology of algebraic varieties over the complex numbers. For all unexplained notation we refer to Fulton (1).
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Derived Categories,Let us consider an additive category K and a system S of morphisms subjected to conditions FR 1, 2, 3 below. To these data we shall associate an additive category S.κ
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