@article{RSMUP_2003__110__221_0, author = {Fujisawa, Taro and Nakayama, Chikara}, title = {Mixed Hodge structures on log deformations}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {110}, year = {2003}, pages = {221-268}, mrnumber = {2033010}, zbl = {1167.14301}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_2003__110__221_0} }
Fujisawa, Taro; Nakayama, Chikara. Mixed Hodge structures on log deformations. Rendiconti del Seminario Matematico della Università di Padova, Tome 110 (2003) pp. 221-268. http://gdmltest.u-ga.fr/item/RSMUP_2003__110__221_0/
[1] Théorie des topos et cohomologie étale des schémas, Lect. Notes Math., 269, 270, 305 (1972-73).
- - ,[2] Equations différentielles à points singuliers réguliers, Lect. Notes Math., 163 (1970). | MR 417174 | Zbl 0244.14004
,[3] Théorie de Hodge, III, Publ. Math., Inst. Hautes Étud. Sci., 44 (1975), pp. 5-77. | Numdam | MR 498552 | Zbl 0237.14003
,[4] Residues and Duality, Lect. Notes Math., 20 (1966). | MR 222093 | Zbl 0212.26101
,[5] Logarithmic spaces (according to K. Kato), in Barsotti Symposium in Algebraic Geometry (Ed. V. Cristante, W. Messing), Perspectives in Math. 15, Academic Press, 1994, pp. 183-203. | MR 1307397 | Zbl 0832.14015
,[6] Sheaves on Manifolds, Springer (1990). | MR 1074006 | Zbl 0709.18001
- ,[7] Logarithmic structures of Fontaine-Illusie, Algebraic analysis, geometry, and number theory (Igusa, J.-I., ed.), Johns Hopkins University Press, Baltimore, 1989, pp. 191-224. | MR 1463703 | Zbl 0776.14004
,[8] Log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over C, Kodai Math. J., 22 (1999), pp. 161-186. | MR 1700591 | Zbl 0957.14015
- ,[9] Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties, Invent. Math., 118 (1994), pp. 395-409. | MR 1296351 | Zbl 0848.14004
- ,[10] On log Hodge structures of higher direct images, Kodai Math. J., 21 (1998), pp. 81-101. | MR 1645599 | Zbl 1017.32017
,[11] Degeneration of l-adic weight spectral sequences, Amer. J. Math., 122 (2000), pp. 721-733. | MR 1771570 | Zbl 1033.14012
,[12] Über die lokale Zetafunktion von Shimuravarietäten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik, Invent. Math., 68 (1982), pp. 21-201. | MR 666636 | Zbl 0498.14010
- ,[13] Limits of Hodge structures, Invent. Math., 31 (1976), pp. 229-257. | MR 429885 | Zbl 0303.14002
,[14] Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures, Math. Ann., 301 (1995), pp. 105-118. | MR 1312571 | Zbl 0814.14010
,[15] Variation of mixed Hodge structure. I, Invent. Math., 80 (1985), pp. 489-542. | MR 791673 | Zbl 0626.14007
- ,[16] Recovery of vanishing cycles by log geometry, Tôhoku Math. J., 53 (1) (2001), pp. 1-36. | MR 1808639 | Zbl 1015.14005
,