The Poincaré–Deligne Polynomial of Milnor Fibers of Triple Point Line Arrangements is Combinatorially Determined
Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 279-286
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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.
Mots-clés :
32S22, 32S35, 32S25, 32S55, line arrangement, Milnor fiber, monodromy, mixed Hodge structures
Dimca, Alexandru. The Poincaré–Deligne Polynomial of Milnor Fibers of Triple Point Line Arrangements is Combinatorially Determined. Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 279-286. doi: 10.4153/CMB-2016-003-1
@article{10_4153_CMB_2016_003_1,
author = {Dimca, Alexandru},
title = {The {Poincar\'e{\textendash}Deligne} {Polynomial} of {Milnor} {Fibers} of {Triple} {Point} {Line} {Arrangements} is {Combinatorially} {Determined}},
journal = {Canadian mathematical bulletin},
pages = {279--286},
year = {2016},
volume = {59},
number = {2},
doi = {10.4153/CMB-2016-003-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-003-1/}
}
TY - JOUR AU - Dimca, Alexandru TI - The Poincaré–Deligne Polynomial of Milnor Fibers of Triple Point Line Arrangements is Combinatorially Determined JO - Canadian mathematical bulletin PY - 2016 SP - 279 EP - 286 VL - 59 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-003-1/ DO - 10.4153/CMB-2016-003-1 ID - 10_4153_CMB_2016_003_1 ER -
%0 Journal Article %A Dimca, Alexandru %T The Poincaré–Deligne Polynomial of Milnor Fibers of Triple Point Line Arrangements is Combinatorially Determined %J Canadian mathematical bulletin %D 2016 %P 279-286 %V 59 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-003-1/ %R 10.4153/CMB-2016-003-1 %F 10_4153_CMB_2016_003_1
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