Infinite products in number theory and geometry
arXiv:math/0404427
Abstract
We give an introduction to the theory of Borcherds products and to some number theoretic and geometric applications. In particular, we discuss how the theory can be used to study the geometry of Hilbert modular surfaces.
34 pages, to appear in Jahresber. Dtsch. Math. Ver
References in corpus (5)
- Algebras, BPS States, and Strings
- Conjectures sur les dérivées logarithmiques des fonctions L d'Artin aux entiers négatifs
- Derivatives of Eisenstein series and arithmetic geometry
- Borcherds products and arithmetic intersection theory on Hilbert modular surfaces
- Arithmetic characteristic classes of automorphic vector bundles