Generalized Local Cohomology and Quasicoherent Sheaves

  title={Generalized Local Cohomology and Quasicoherent Sheaves},
  author={J. L. Bueso and Blas Torrecillas and A. Verschoren},
Although idempotent kernel functors 161, or equivalently, abstract localization theory with respect to hereditary torsion theories [S] or Gabriel topologies [3] were originally introduced to generalize traditional localization theory to noncommutative rings and modules, they have also been applied to sheaf theory. Consider an arbitrary ringed space (X, Q,). In [ 121 K. Suominen introduces cohomology with support in the category of sheaves of &-modules, as derived functors of certain idempotent… CONTINUE READING


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