For a certain class ("fiber-type") of arrangements, including the supersolvable ones of Jambu and Terao , we prove a formula relating the Poincaré polynomial of the complement with the ranks of successive quotients in the lower central series of the fundamental group. Such a formula was proved by Kohno  for the single family of examples Al. We also show that the formula does not hold for all K(π, 1) arrangements.
|Original language||English (US)|
|Number of pages||12|
|State||Published - Feb 1 1985|
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