Affordable Access

Arc Spaces and Rogers-Ramanujan Identities

Authors
Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 1101.4950
Source
arXiv
License
Yellow
External links

Abstract

Arc spaces have been introduced in algebraic geometry as a tool to study singularities but they show strong connections with combinatorics as well. Exploiting these relations we obtain a new approach to the classical Rogers-Ramanujan Identities. The linking object is the Hilbert-Poincar\'e series of the arc space over a point of the base variety. In the case of the double point this is precisely the generating series for the integer partitions without equal or consecutive parts.

Statistics

Seen <100 times