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The Poincaré-Deligne Polynomial of Milnor Fibers of Triple Point Line Arrangements is Combinatorially Determined

  Published:2016-02-04
 Printed: Jun 2016
  • Alexandru Dimca,
    Univ. Nice Sophia Antipolis, CNRS, LJAD, UMR 7351, 06100 Nice, France
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Abstract

Using a recent result by S. Papadima and A. Suciu, we show that the equivariant Poincaré-Deligne polynomial of the Milnor fiber of a projective line arrangement having only double and triple points is combinatorially determined.
Keywords: line arrangement, Milnor fiber, monodromy, mixed Hodge structures line arrangement, Milnor fiber, monodromy, mixed Hodge structures
MSC Classifications: 32S22, 32S35, 32S25, 32S55 show english descriptions Relations with arrangements of hyperplanes [See also 52C35]
Mixed Hodge theory of singular varieties [See also 14C30, 14D07]
Surface and hypersurface singularities [See also 14J17]
Milnor fibration; relations with knot theory [See also 57M25, 57Q45]
32S22 - Relations with arrangements of hyperplanes [See also 52C35]
32S35 - Mixed Hodge theory of singular varieties [See also 14C30, 14D07]
32S25 - Surface and hypersurface singularities [See also 14J17]
32S55 - Milnor fibration; relations with knot theory [See also 57M25, 57Q45]
 

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