6 citations · 14 across the 12 of their papers we have counts for
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math.AC2007
On support varieties for modules over complete intersections
Petter Andreas Bergh
We show that, over a local complete intersection, every possible variety is realized as the cohomological support variety of some module. Moreover, we show that the projective vari…
math.AC2007
Modules with reducible complexity
Petter Andreas Bergh
For a commutative Noetherian local ring we define and study the class of modules having reducible complexity, a class containing all modules of finite complete intersection dimensi…
math.AC2007
Complexity test modules
Petter Andreas Bergh
A method is provided for computing an upper bound of the complexity of a module over a local ring, in terms of vanishing of certain cohomology modules. We then specialize to comple…