@article {1710.04639, archivePrefix = {arXiv}, eprint = {1710.04639}, primaryClass = {math.AG}, author = {Pablo Solis}, title = {Hunting Vector Bundles on $\mathbb{P}^1 \times \mathbb{P}^1$}, year = {2017}, url = {http://arxiv.org/abs/1710.04639} }