Automorphic Functions for the Borromean-rings-complement group
スポンサーリンク
概要
- 論文の詳細を見る
We construct automorphic functions on the real $3$-dimensional hyperbolic space $\H^3$ with respect to a subgroup $B$ of $GL_2(\mathbb{Z}[i])$, which is isomorphic to the fundamental group of the complement of the Borromean rings. We utilize the pull-backs of theta functions on the hermitian symmetric domain $\D$ of type $I_{2,2}$ under an embedding from $\H^3$ into $\D$ for our construction. These automorphic functions realize the quotient space of the real $3$-dimensional upper half space by $B$ as part of an affine algebraic variety in the $6$-dimensional Euclidean space.
- Graduate School of Mathematical Sciences, The University of Tokyoの論文
- 2006-03-21
Graduate School of Mathematical Sciences, The University of Tokyo | 論文
- On the $\SU$ representation space of the Brieskorn homology spheres
- Massera criterion for linear functional equations in a framework of hyperfunctions
- Twining Character Formula of Borel-Weil-Bott Type
- Classification of log del~Pezzo surfaces of index two
- 2-spheres of square -1 and the geography of genus-2 Lefschetz fibrations