Strengthening the theorem of embedded desingularization

Mathematical Research Letters

Volumn 8, Issue 1-2, 2001, Pages 79-89

  Bravo, A ^a,b   Villamayor, O U ^a  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035644096     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.2001.v8.n1.a9     Document Type: Article

References (16)

1. [AJ] D. Abramovich and A. J. de Jong, Smoothness, semistability and toroidal geometry, J. Algebraic Geom. 6 (1997), 789-801.
2. [AW] D. Abramovich and J. Wang, Equivariant resolution of singularities in characteristic 0, Math. Res. Lett. 4 (1997), 427-433.
3. [BM] E. Bierstone and P. Milman, Canonical desingularization in characteristic zero by blowing-up the maxima strata of a local invariant, Invent. Math. 128 (1997), 207-302.
4. [BS1] G. Bodnár and J. Schicho, A Computer Program for the Resolution of Singularities Progr. Math. 181, Birkhäuser, 2000.
5. [BS2] -, Automated resolution of singularities for hypersurfaces, J. Symbolic Comput. 30 (2000), 401-428.
6. [BP] F. Bogomolov and T. Pantev, Weak Hironaka Theorem, Math. Res. Lett. 3 (1996), 299-307.
7. [BV] A. Bravo and O. Villamayor, A Strong Desingularization Theorem, preprint.
8. [EH] S. Encinas and H. Hauser, Strong Resolution of Singularities, preprint.
9. [ENV] S. Encinas, A. Nobile, and O. Villamayor, On algorithmic Equiresolution and stratification of Hilbert schemes, preprint, math AG/0010228.
10. [EV1] S. Encinas and O. Villamayor, Good points and constructive resolution of singularities, Acta Math. 181 (1998), 109-158.
11. [EV2] S. Encinas and O. Villamayor, A Course on Constructive Desingularization and Equivariance, in Resolution of Singularities. A research textbook in tribute to Oscar Zariski, Eds. H. Hauser, J. Lipman, F. Oort, A. Quirós, Progr. Math. 181, Birkhäuser, 2000. Available at http://math1.uibk.ac.at/blowup/
12. [EV3] S. Encinas and O. Villamayor, A new theorem of desingularization over fields of characteristic zero, preprint, math AG/0101208.
13. [Hi1] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero I-II, Ann. of Math. 79 (1964), 109-326.
14. [Hi2] -, Idealistic exponent of a singularity, Algebraic Geometry, The John Hopkins centennial lectures, Baltimore, John Hopkins University Press (1977), pp. 52-125.
15. [V1] O. Villamayor, Constructiveness of Hironaka's resolution, Ann. Sci. cole Norm. Sup. 22 (1989), 1-32.
16. [V2] -, Patching local uniformizations, Ann. Sci. cole Norm. Sup. 25 (1992), 629-677.