Smoothness and tangent bundles of arithmetical schemes

Mathematische Zeitschrift

Volumn 239, Issue 1, 2002, Pages 159-182

  Bravo, A ^a   Villamayor, U O ^a  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036003001     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090100290     Document Type: Article

References (11)

1. [Br] A. Bravo. Fibrados canónicos e ideales jacobianos sobre esquemas aritméticos, Tesis, Universidad Autónoma de Madrid, (1998)
2. [Ca1] F. Cano. Desingularization of plane vector fields, Lecture Notes in Math. No. 1259, Springer Verlag, (1987)
3. [Ca2] F. Cano. Desingularization strategies for three-dimensional vector fields, Trans. Amer. Math. Soc., 296, 1. (1986), 83-93
4. [Cs] V. Cossart. Polyèdre caractéristique d'une singularité, Thèse, Université de Paris-Sud, Centre Orsay, (1987)
5. [En] S. Encinas. Resolución constructiva de singularidades de familias de esquemas, Tesis, Universidad de Valladolid, (1996)
6. [Gi] J. Giraud. Forme normale d'une fonction sur une surface de caractéristique positive, Bull. Soc. Math. France, 111 (1983), 109-124
7. [Hi] H. Hironaka. Resolution of singularities of an algebraic variety over a field of characteristic zero I-II, Ann. of Math. 79 (1964), 109-326
8. [K1] K. Kato. Logarithmic structures of Fontaine-Illusie, Algebraic Analysis, Geometry and number Theory, (Baltimore, MD, 1988), 191-224, Johns Hopkins Univ. Press, Baltimore, MD, 1989
9. [K2] K. Kato. Toric singularities, Amer. J. Math. 116 (1994), no. 5, 1073-1099
10. [V1] O. Villamayor. On smoothness and blowing ups of arithmetical schemes, Math. Z. 225, (1997), 317-332
11. [V2] O. Villamayor. Resolution on families, Math. Ann. 309, (1997), 1-19