Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Desingularization of toric and binomial varieties


Authors: Edward Bierstone and Pierre D. Milman
Journal: J. Algebraic Geom. 15 (2006), 443-486
DOI: https://doi.org/10.1090/S1056-3911-06-00430-9
Published electronically: March 1, 2006
MathSciNet review: 2219845
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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

DOI: https://doi.org/10.1090/S1056-3911-06-00430-9
Received by editor(s): December 3, 2004
Received by editor(s) in revised form: September 15, 2005
Published electronically: March 1, 2006
Additional Notes: The authors’ research was supported in part by NSERC grants OGP0009070 and OGP0008949

American Mathematical Society