Averlian Varieties 3 (Review of Cohomology)

De Yoyontzin -
AV3 (Rog) 12.8.2009 11:31 PM
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  1. Yoyontzin8 de diciembre de 2009 a las 21:05

    Note. In the construction of the injective Resolution of the term A where

    0---> B----> A----> C---->0

    is an exact sequence in the category and in which

    B-->I* is an injective resolution of B

    and

    C---> J* is an injective resolution of C

    Then we constructo an injective resolution

    A---> I* (+) J*.

    note that the injection map A --> I^0 (+) J^0
    is the one given by the two morphisms:
    A---> I^0 resulting from the lifing of
    B---> I^0 (remember I^0 is injective) and the morphism
    A---> C---> J^0.

    ResponderEliminar

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