On the Milnor Monodromy of the Exceptional Reflection Arrangement of Type $G_{31}$
Copyright policy )On the Milnor Monodromy of the Exceptional Reflection Arrangement of Type $G_{31}$
Combining recent results by A. D. Mačinic et al. [Doc. Math. (Bielefeld) 22, 135–150 (2017; Zbl 1358.14020)] with a spectral sequence and computer aided computations, we determine the monodromy action on H^1(F,\Bbb C) , where F denotes the Milnor fiber of the hyperplane arrangement associated to the exceptional irreducible complex reflection group G_{31} . This completes the description given by the first author of such monodromy operators for all the other irreducible complex reflection groups.
monodromy, [MATH] Mathematics [math], Group Theory (math.GR), complex reflection group, Mathematics - Algebraic Geometry, Mixed Hodge theory of singular varieties (complex-analytic aspects), Milnor fiber, Relations with arrangements of hyperplanes, FOS: Mathematics, Milnor fibration; relations with knot theory, hyperplane arrangement, Mathematics - Group Theory, Algebraic Geometry (math.AG)
monodromy, [MATH] Mathematics [math], Group Theory (math.GR), complex reflection group, Mathematics - Algebraic Geometry, Mixed Hodge theory of singular varieties (complex-analytic aspects), Milnor fiber, Relations with arrangements of hyperplanes, FOS: Mathematics, Milnor fibration; relations with knot theory, hyperplane arrangement, Mathematics - Group Theory, Algebraic Geometry (math.AG)
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