Polar degree and vanishing cycles
arXiv:2103.04402 · doi:10.1112/topo.12260
Abstract
We prove that the polar degree of an arbitrarily singular projective hypersurface can be decomposed as a sum of non-negative numbers which represent local vanishing cycles of two different types. This yields lower bounds for the polar degree of any singular projective hypersurface.
arXiv commentaccepted for publication by the Journal of Topology
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