THE G-HILBERT SCHEME FOR
Glasgow mathematical journal, Tome 53 (2011) no. 1, pp. 115-129
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Following Craw, Maclagan, Thomas and Nakamura's works[2, 7] on Hilbert schemes for abelian groups, we give an explicit description of theHilbGC3 scheme for G = 〈diag(ε, εa, εr−a)〉 by a classification of all G-sets. We describe how the combinatorial properties of the fan of HilbGC3 relates to the Euclidean algorithm.
KĘDZIERSKI, OSKAR. THE G-HILBERT SCHEME FOR. Glasgow mathematical journal, Tome 53 (2011) no. 1, pp. 115-129. doi: 10.1017/S0017089510000571
@article{10_1017_S0017089510000571,
author = {K\k{E}DZIERSKI, OSKAR},
title = {THE {G-HILBERT} {SCHEME} {FOR}},
journal = {Glasgow mathematical journal},
pages = {115--129},
year = {2011},
volume = {53},
number = {1},
doi = {10.1017/S0017089510000571},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000571/}
}
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