DOAJ Open Access 2011

Arc Spaces and Rogers-Ramanujan Identities

Clemens Bruschek Hussein Mourtada Jan Schepers

Lihat Sumber DOI

Abstrak

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-Poincaré 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.

Topik & Kata Kunci

Mathematics

Penulis (3)

Clemens Bruschek

Hussein Mourtada

Jan Schepers

Format Sitasi

APA MLA BibTeX

Bruschek, C., Mourtada, H., Schepers, J. (2011). Arc Spaces and Rogers-Ramanujan Identities. https://doi.org/10.46298/dmtcs.2904

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2904

Informasi Jurnal

Tahun Terbit: 2011
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2904
Akses: Open Access ✓