Multivariable Hodge theoretical invariants of germs of plane curves

2009/04/06 by Cassou-Nogues, Pierrette, Libgober, Anatoly
#14H50 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0904.1030

Abstract

We describe methods for calculation of polytopes of quasiadjunction for plane curve singularities which are invariants giving a Hodge theoretical refinement of the zero sets of multivariable Alexander polynomials. In particular we identify some hyperplanes on which all polynomials in multivariable Bernstein ideal vanish.

Related

• Hodge decomposition of Alexander invariants
• Spectrum of Projective Plane Curve Arrangements with Ordinary Singularities
• Hodge theory on Alexander invariants -- a survey
• The Alexander polynomial of a plane curve singularity and the ring of functions on it
• Isolated non-normal crossings