Weak Hironaka theorem

Mathematical Research Letters

Volumn 3, Issue 3, 1996, Pages 299-308

  Bogomolov, Fedor A ^a,b   Pantev, Tony G ^c  

^a NEW YORK UNIVERSITY   (United States)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030305238     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1996.v3.n3.a1     Document Type: Article

References (11)

1. [A-dJ] D. Abramovich and A. J. de Jong, Smoothness, semistability and toroidal geometry, preprint, alg-geom/9603018.
2. [B] G. V. Belyi, Galois extensions of a maximal cyclotomic field, Izv. Akad. Nauk SSSR Ser. Mat. 43, no. 2 (1979), 267-276.
3. [B-M] E. Bierstone and P. Milman, Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant, preprint, alggeom/9508005.
4. [F-H] W. Fulton and J. Hansen, A connectedness theorem for projective varieties, with applications to intersection and singularities of mappings, Ann. of Math. 110 (1979), 159-166.
5. [Ha] R. Hartshorne, Algebraic geometry, Springer, 1977.
6. [Hi] 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. [dJ] A. J. de Jong, Smoothness, semistability and alterations, preprint, http://www.math.uiuc.edu/K-theory/0081/alterations.dvi
8. [KKMS] G. Kempf, F. Knudsen, D. Mumford, and B. Saint-Donat, Toroidal embeddings I, LNM no 339, Springer-Verlag, 1973.
9. [K] F. Knudsen, The projectivity of the moduli space of stable curves, II, Math. Scand. 52 (1983), 161-199.
10. [SGA 1] A. Grothendieck et al., Séminaire de Géométrie Algebrique du Bois Maire 1960/61, Lecture Notes in Math. 224, Springer-Verlag.
11. [S] M. Spivakovsky, Resolution of singularities, preprint, 1994.