Twisted Borcherds products on Hilbert modular surfaces and their CM values
| dc.creator | Bruinier, Jan Hendrik | |
| dc.creator | Yang, Tonghai | |
| dc.date | 2005-05-10 | |
| dc.date | 2005-05-18 | |
| dc.date.accessioned | 2026-07-07T05:19:46Z | |
| dc.date.available | 2026-07-07T05:19:46Z | |
| dc.description | We construct a natural family of rational functions $\tildeΨ_m$ on a Hilbert modular surface from the classical $j$-invariant and its Hecke translates. These functions are obtained by means of a multiplicative analogue of the Doi-Naganuma lifting and can be viewed as twisted Borcherds products. We then study when the value of $\tildeΨ_m$ at a CM point associated to a non-biquadratic quartic CM field generates the `CM class field' of the reflex field. For the real quadratic field $\Q(\sqrt{5})$, we factorize the norm of some of these CM values to $\Q(\sqrt 5)$ numerically. | |
| dc.description | 30 pages; Theorem 6.6 corrected, references added | |
| dc.identifier | https://arxiv.org/abs/math/0505177 | |
| dc.identifier | http://arxiv.org/abs/math/0505177 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75138 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G15, 11F41, 14K22 | |
| dc.title | Twisted Borcherds products on Hilbert modular surfaces and their CM values | |
| dc.type | text |