A G ] 2 0 Ja n 20 04 STABLE CONFIGURATIONS OF LINEAR SUBSPACES AND QUOTIENT COHERENT SHEAVES

@inproceedings{Yi2008AG,
  title={A G ] 2 0 Ja n 20 04 STABLE CONFIGURATIONS OF LINEAR SUBSPACES AND QUOTIENT COHERENT SHEAVES},
  author={Hu Yi},
  year={2008}
}
To apply moment map, we assume that dim W = 1 and consider the special case of systems of subspaces in V . We showed that a configuration {Vi} ∈ ∏ i Gr(ki, V ) is polystable if and only if {Vi} can be (uniquely) balanced with respect to a Hermitian metric on V . Here, a Hermitian metric h on V is said to be a balance metric for the weighted configuration of vector subspaces ({Vi}, ω) if the weighted sum of the orthogonal projections from V onto Vi, for 1 ≤ i ≤ m, is the scalar operator ℘ω({Vi… CONTINUE READING

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