Polysymmetric functions and motivic measures of configuration spaces

Abstract

We introduce a generalization of symmetric functions and apply the resulting theory to compute the class in the Grothendieck ring of varieties of the space of geometrically irreducible hypersurfaces of a fixed degree in projective space.

arXiv comment32 pages; shifted emphasis to polysymmetric functions, added relation to a formula of Getzler--Kapranov