Valuations and Complex Subspace Arrangements
Institute for Advanced Study
refreshments at 3:45pm
We present a new combinatorial method to compute the
characteristic polynomial of subspace arrangements using the theory of
valuations. This method applies to any subspace arrangement over an
infinite field. Examples include complex subspace arrangements, the
Dowling divisor lattice and its interpolations. We also consider the
effect of the Dowlingization transformation on the characteristic
polynomial of real subspace arrangements.
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