Diane Maclagan, Rekha R. Thomas. The toric Hilbert scheme of a rank two lattice is smooth and irreducible. Journal of Combinatorial Theory, Series A, 104(1):29-48, 2003. [doi]
@article{MaclaganT03,
title = {The toric Hilbert scheme of a rank two lattice is smooth and irreducible},
author = {Diane Maclagan and Rekha R. Thomas},
year = {2003},
doi = {10.1016/S0097-3165(03)00117-1},
url = {http://dx.doi.org/10.1016/S0097-3165(03)00117-1},
researchr = {https://researchr.org/publication/MaclaganT03},
cites = {0},
citedby = {0},
journal = {Journal of Combinatorial Theory, Series A},
volume = {104},
number = {1},
pages = {29-48},
}