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Desingularization of toric and binomial varieties
Author(s):
Edward
Bierstone;
Pierre
D.
Milman
Journal:
J. Algebraic Geom.
15
(2006),
443-486.
Posted:
March 1, 2006
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Abstract |
References |
Additional information
Abstract:
We give a combinatorial algorithm for equivariant embedded resolution of singularities of a toric variety defined over a perfect field. The algorithm is realized by a finite succession of blowings-up with smooth invariant centres that satisfy the normal flatness condition of Hironaka. The results extend to more general varieties defined locally by binomial equations.
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Additional Information:
Edward
Bierstone
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 2E4
Email:
bierston@math.toronto.edu
Pierre
D.
Milman
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 2E4
Email:
milman@math.toronto.edu
PII:
S 1056-3911(06)00430-9
Received by editor(s):
December 3, 2004
Received by editor(s) in revised form:
September 15, 2005
Posted:
March 1, 2006
Additional Notes:
The authors' research was supported in part by NSERC grants OGP0009070 and OGP0008949
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