Log smooth deformation theory

Tohoku Mathematical Journal

Volumn 48, Issue 3, 1996, Pages 317-354

  Kato, Fumiharu ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030304025     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178225336     Document Type: Article

References (12)

1. R. Friedman, Global smoothings of varieties with normal crossings, Ann. of Math. (2) 118 (1983), 75-114.
2. A. Grothendieck, Revêtements étales et groupe fondamentale, Lecture Notes in Math. 224, Springer-Verlag, Berlin, 1971.
3. L. Illusie, Introduction à la géométrie logarithmique, Seminar notes at Univ. of Tokyo in 1992.
4. T. Kajiwara, Logarithmic compactifications of the generalized Jacobian variety, J. Fac. Sci. Univ. Tokyo, Sect. IA, Math. 40 (1993), 473-502.
5. K. Kato, Logarithmic structures of Fontaine-Illusie, in Algebraic Analysis, Geometry and Number Theory (J.-I. Igusa, ed.), Johns Hopkins Univ., 1988, 191-224.
6. Y. Kawamata and Y. Namikawa, Logarithmic deformations of normal crossing varieties and smoothings of degenerate Calabi-Yau varieties, Invent. Math. 118 (1994), 395-409.
7. K. Kodaira and D. C. Spencer, On deformation of complex analytic structures, I—II, Ann. of Math. (2) 67 (1958), 328-466.
8. S. Lichtenbaum and M. Schlessinger, The cotangent complex of a morphism, Trans. Amer. Math. Soc. 128 (1967), 41-70.
9. K. Makio, On the relative pseudo-rigidity, Proc. Japan Acad. Sect. IA 49 (1973), 6-9.
10. T. Oda, Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties, Ergebnisse der Math. (3) 15, Springer-Verlag, Berlin-New York, 1988.
11. M. Schlessinger, Functors of Artin rings, Trans. Amer. Math. Soc. 130 (1968), 208-222.
12. J. H. M. Steenbrink, Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures, Math. Ann. 301 (1995), 105-118.