The moduli space of (1,11)-polarized abelian surfaces is unirational
| dc.creator | Gross, Mark | |
| dc.creator | Popescu, Sorin | |
| dc.date | 1999-02-02 | |
| dc.date.accessioned | 2026-07-07T05:27:45Z | |
| dc.date.available | 2026-07-07T05:27:45Z | |
| dc.description | We prove that the moduli space A_{11}^{lev} of (1,11) polarized abelian surfaces with level structure of canonical type is birational to Klein's cubic hypersurface: a^2b+b^2c+c^2d+d^2e+e^2a=0 in P^4. Therefore, A_{11}^{lev} is unirational but not rational, and there are no Gamma_{11}-cusp forms of weight 3. The same methods also provide an easy proof of the rationality of A_{9}^{lev}. | |
| dc.description | 27 pages, TeX with diagrams.tex. Related Macaulay2 code and PostScript file available at http://www.math.columbia.edu/~psorin/ | |
| dc.identifier | https://arxiv.org/abs/math/9902017 | |
| dc.identifier | http://arxiv.org/abs/math/9902017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78043 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The moduli space of (1,11)-polarized abelian surfaces is unirational | |
| dc.type | text |