A Smooth Four-Dimensional G-Hilbert Scheme

Sebestean, Magda. "A Smooth Four-Dimensional G-Hilbert Scheme." Serdica Mathematical Journal 30.2-3 (2004): 283-292. <http://eudml.org/doc/219537>.

@article{Sebestean2004,
abstract = {2000 Mathematics Subject Classification: 14C05, 14L30, 14E15, 14J35.When the cyclic group G of order 15 acts with some specific weights on affine four-dimensional space, the G-Hilbert scheme is a crepant resolution of the quotient A^4 / G. We give an explicit description of this resolution using G-graphs.},
author = {Sebestean, Magda},
journal = {Serdica Mathematical Journal},
keywords = {Quotient Singularities; Crepant Resolutions; Toric Varieties; G-Hilbert Scheme; G-Graph; quotient singularities; crepant resolutions; toric varieties},
language = {eng},
number = {2-3},
pages = {283-292},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Smooth Four-Dimensional G-Hilbert Scheme},
url = {http://eudml.org/doc/219537},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Sebestean, Magda
TI - A Smooth Four-Dimensional G-Hilbert Scheme
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 2-3
SP - 283
EP - 292
AB - 2000 Mathematics Subject Classification: 14C05, 14L30, 14E15, 14J35.When the cyclic group G of order 15 acts with some specific weights on affine four-dimensional space, the G-Hilbert scheme is a crepant resolution of the quotient A^4 / G. We give an explicit description of this resolution using G-graphs.
LA - eng
KW - Quotient Singularities; Crepant Resolutions; Toric Varieties; G-Hilbert Scheme; G-Graph; quotient singularities; crepant resolutions; toric varieties
UR - http://eudml.org/doc/219537
ER -