2008/02/06 by Nero Budur, Budur, Nero
Mathematics · #32S22 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:32S22
paper · pdf · doi:10.48550/arxiv.0802.0878
example added
arxiv created 2008/09/19 · arxiv updated 2009/12/01
M. Saito recently proved that the jumping numbers of a hyperplane arrangement depend only on the combinatorics of the arrangement. However, a formula in terms of the combinatorial data was still missing. In this note, we give a formula and a different proof of the fact that the jumping numbers of a hyperplane arrangement depend only on the combinatorics. We also give a combinatorial formula for part of the Hodge spectrum and for the inner jumping multiplicities.