Strong resolution of singularities in characteristic zero

Commentarii Mathematici Helvetici

Volumn 77, Issue 4, 2002, Pages 821-845

  Encinas, Santiago ^a   Hauser, Herwig ^a  

^a NONE

Author keywords

Resolution of singularities

Indexed keywords

EID: 0036951351     PISSN: 00102571     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00012443     Document Type: Article

References (20)

1. [A1] S. Abhyankar, Good points of a hypersurface, Adv. Math. 68 (1988), 87-256.
2. [A2] S. Abhyankar, Desingularization of plane curves, in: Algebraic Geometry, Arcata 1981, Proc. Symp. Pure Appl. Math. 40, Amer. Math. Soc.
3. [AHV] J.-M. Aroca, H. Hironaka and J.-L. Vicente, The theory of the maximal contact, Mem. Mat. Inst. Jorge Juan Madrid 29 (1975).
4. [AJ] D. Abramovich and J. de Jong, Smoothness, semi-stability and toroidal geometry, J. Alg. Geometry 6 (1997), 789-801.
5. [AW] D. Abramovich and J. Wang, Equivariant resolution of singularities in characteristic 0, Math. Res. Letters 4 (1997), 427-433.
6. [BM1] E. Bierstone and P. Milman, Uniformization of analytic spaces, J. Amer. Math. Soc. 2 (1989), 801-836.
7. [BM2] E. Bierstone and P. Milman, Semianalytic and subanalytic sets, Publ. Math. IHES 67 (1988), 5-42.
8. [BM3] E. Bierstone and P. Milman, Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant, Invent. math. 128 (1997), 207-302.
9. [BP] F. Bogomolov and T. Pantev, Weak Hironaka Theorem, Math. Res. Letters 3 (1996), 299-307.
10. [BS] G. Bodnár and J. Schicho, Automated Resolution of Singularities for Hypersurfaces, J. Symb. Comp. 30 (2000), 401-428.
11. [BV] A. Bravo and O. Villamayor, A strengthening of resolution of singularities in characteristic zero, to appear in Proc. London Math. Soc.
12. [EV1] S. Encinas and O. Villamayor, Good points and constructive resolution of singularities, Acta Math. 181 (1998), 109-158.
13. [EV2] S. Encinas and O. Villamayor, A proof of desingularization over fields of characteristic zero, http://arxiv.org/abs/math.AG/0101208
14. [G] J. Giraud, Sur la théorie du contact maximal, Math. Z. 137 (1974), 285-310.
15. [Ha1] H. Hauser, Resolution of singularities 1860-1999, in: Hauser et al. (ed.), Resolution of Singularities Progress in Math. 181, Birkhäuser, 2000.
16. [Ha2] H. Hauser, The Hironaka Theorem on Resolution of Singularities (or: A proof we always wanted to understand), to appear in Bull Amer. Math. Soc.
17. [H1] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math. 79 (1964), 109-326.
18. [H2] H. Hironaka, Idealistic exponents of singularity, in: Algebraic Geometry, 52-125, The Johns Hopkins Centennial Lectures, 1977.
19. [V1] O. Villamayor, Constructiveness of Hironaka's resolution, Ann. Sci. Éc. Norm. Sup. Paris 22 (1989), 1-32.
20. [V2] O. Villamayor, Patching local uniformizations, Ann. Scient. Éc. Norm. Sup. Paris 25 (1992), 629-677.