The moduli space of (1,11)-polarized abelian surfaces is unirational

The moduli space of (1,11)-polarized abelian surfaces is unirational. Gross, M. & Popescu, S. arXiv:math/9902017, February, 1999. arXiv: math/9902017

Paper abstract bibtex

We prove that the moduli space Al1e1v of (1, 11)-polarized abelian surfaces with level structure of canonical type is birational to Klein’s cubic hypersurface in P4. Therefore, Al1e1v is unirational but not rational, and there are no Γ11-cusp forms of weight 3. The same methods also provide an easy proof of the rationality of Al9ev.

@article{gross_moduli_1999,
	title = {The moduli space of (1,11)-polarized abelian surfaces is unirational},
	url = {http://arxiv.org/abs/math/9902017},
	abstract = {We prove that the moduli space Al1e1v of (1, 11)-polarized abelian surfaces with level structure of canonical type is birational to Klein’s cubic hypersurface in P4. Therefore, Al1e1v is unirational but not rational, and there are no Γ11-cusp forms of weight 3. The same methods also provide an easy proof of the rationality of Al9ev.},
	language = {en},
	urldate = {2019-02-12},
	journal = {arXiv:math/9902017},
	author = {Gross, Mark and Popescu, Sorin},
	month = feb,
	year = {1999},
	note = {arXiv: math/9902017},
	keywords = {Mathematics - Algebraic Geometry}
}

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