Equivariant resolution of singularities in characteristic 0

Mathematical Research Letters

Volumn 4, Issue 2-3, 1997, Pages 427-433

  Abramovich, Dan ^a   Wang, Jianhua ^b  

^a Boston University   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031287206     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/mrl.1997.v4.n3.a11     Document Type: Review

References (8)

1. [N-dJ] D. Abramovich and A. J. de Jong, Smoothness, semistability, and toroidal geometry, J. Alg. Geom., to appear.
2. [B] J.-L. Brylinski, Décomposition simpliciale d'un réseau, invariante par un groupe fini d'automorphismes, C. R. Acad. Sci. Paris Sér. A-B 288 (1979), A137-A139.
3. [B-M1] E. Bierstone and P. Milman, A simple constructive proof of canonical resolution of singularities, Effective methods in algebraic geometry (Castiglioncello, 1990), 11-30, Progr. Math., 94, Birkhauser Boston, Boston, MA, 1991.
4. [B-M2] _, Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant, Invent. Math., to appear.
5. [B-P] F. Bogomolov and T. Pantev, Weak Hironaka theorem, Math. Res. Lett. 3 (1996), 299-307.
6. [H] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero: I, II, Ann. of Math. (2) 79 (1964), 109-326.
7. [KKMS] G. Kempf, F. Knudsen, D. Mumford, and B. Saint-Donat, Toroidal embeddings I, Lecture Notes in Math, 339, Springer-Verlag, Berlin-New York, 1973.
8. [V] O. Villamayor, Constructiveness of Hironaka's resolution. Ann. Sci. École Norm. Sup. (4) 22 (1989), 1-32.