Polysymmetric functions and motivic measures of configuration spaces
Algebraic Geometry
2024-11-27 v3 Combinatorics
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.
Keywords
Cite
@article{arxiv.2207.04529,
title = {Polysymmetric functions and motivic measures of configuration spaces},
author = {Asvin G and Andrew O'Desky},
journal= {arXiv preprint arXiv:2207.04529},
year = {2024}
}
Comments
32 pages; shifted emphasis to polysymmetric functions, added relation to a formula of Getzler--Kapranov