Calabi-Yau Threefolds and Moduli of Abelian Surfaces I. Gross, M. & Popescu, S. arXiv:math/0001089, January, 2000. arXiv: math/0001089
Calabi-Yau Threefolds and Moduli of Abelian Surfaces I [link]Paper  abstract   bibtex   
We describe birational models and decide the rationality/unirationality of moduli spaces AA_\d\ (and AA\textasciicircum\lev\_\d\) of (1,d)-polarized abelian surfaces (with canonical level structure, respectively) for small values of d. The projective lines identified in the rational/unirational moduli spaces correspond to pencils of abelian surfaces traced on nodal threefolds living naturally in the corresponding ambient projective spaces, and whose small resolutions are new Calabi-Yau threefolds with Euler characteristic zero.
@article{gross_calabi-yau_2000,
	title = {Calabi-{Yau} {Threefolds} and {Moduli} of {Abelian} {Surfaces} {I}},
	url = {http://arxiv.org/abs/math/0001089},
	abstract = {We describe birational models and decide the rationality/unirationality of moduli spaces AA\_\{d\} (and AA{\textasciicircum}\{lev\}\_\{d\}) of (1,d)-polarized abelian surfaces (with canonical level structure, respectively) for small values of d. The projective lines identified in the rational/unirational moduli spaces correspond to pencils of abelian surfaces traced on nodal threefolds living naturally in the corresponding ambient projective spaces, and whose small resolutions are new Calabi-Yau threefolds with Euler characteristic zero.},
	language = {en},
	urldate = {2019-02-12},
	journal = {arXiv:math/0001089},
	author = {Gross, Mark and Popescu, Sorin},
	month = jan,
	year = {2000},
	note = {arXiv: math/0001089},
	keywords = {High Energy Physics - Theory, Mathematics - Algebraic Geometry}
}

Downloads: 0