Calabi-Yau Threefolds and Moduli of Abelian Surfaces I. Gross, M. & Popescu, S. *arXiv:math/0001089*, January, 2000. arXiv: math/0001089Paper 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}
}

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