Mixed Hodge structures on log deformations

Taro Fujisawa; Chikara Nakayama

Rendiconti del Seminario Matematico della Università di Padova (2003)

  • Volume: 110, page 221-268
  • ISSN: 0041-8994

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Fujisawa, Taro, and Nakayama, Chikara. "Mixed Hodge structures on log deformations." Rendiconti del Seminario Matematico della Università di Padova 110 (2003): 221-268. <http://eudml.org/doc/108617>.

@article{Fujisawa2003,
author = {Fujisawa, Taro, Nakayama, Chikara},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {221-268},
publisher = {Seminario Matematico of the University of Padua},
title = {Mixed Hodge structures on log deformations},
url = {http://eudml.org/doc/108617},
volume = {110},
year = {2003},
}

TY - JOUR
AU - Fujisawa, Taro
AU - Nakayama, Chikara
TI - Mixed Hodge structures on log deformations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2003
PB - Seminario Matematico of the University of Padua
VL - 110
SP - 221
EP - 268
LA - eng
UR - http://eudml.org/doc/108617
ER -

References

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  2. [2] P. DELIGNE, Equations différentielles à points singuliers réguliers, Lect. Notes Math., 163 (1970). Zbl0244.14004MR417174
  3. [3] P. DELIGNE, Théorie de Hodge, III, Publ. Math., Inst. Hautes Étud. Sci., 44 (1975), pp. 5-77. Zbl0237.14003MR498552
  4. [4] R. HARTSHORNE, Residues and Duality, Lect. Notes Math., 20 (1966). Zbl0212.26101MR222093
  5. [5] L. ILLUSIE, 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. Zbl0832.14015MR1307397
  6. [6] M. KASHIWARA - P. SHAPIRA, Sheaves on Manifolds, Springer (1990). Zbl0709.18001MR1074006
  7. [7] K. KATO, Logarithmic structures of Fontaine-Illusie, Algebraic analysis, geometry, and number theory (Igusa, J.-I., ed.), Johns Hopkins University Press, Baltimore, 1989, pp. 191-224. Zbl0776.14004MR1463703
  8. [8] K. KATO - C. NAKAYAMA, Log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over C, Kodai Math. J., 22 (1999), pp. 161-186. Zbl0957.14015MR1700591
  9. [9] Y. KAWAMATA - Y. NAMIKAWA, Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties, Invent. Math., 118 (1994), pp. 395-409. Zbl0848.14004MR1296351
  10. [10] T. MATSUBARA, On log Hodge structures of higher direct images, Kodai Math. J., 21 (1998), pp. 81-101. Zbl1017.32017MR1645599
  11. [11] C. NAKAYAMA, Degeneration of l-adic weight spectral sequences, Amer. J. Math., 122 (2000), pp. 721-733. Zbl1033.14012MR1771570
  12. [12] M. RAPOPORT - TH. ZINK, Über die lokale Zetafunktion von Shimuravarietäten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik, Invent. Math., 68 (1982), pp. 21-201. Zbl0498.14010MR666636
  13. [13] J. H. M. STEENBRINK, Limits of Hodge structures, Invent. Math., 31 (1976), pp. 229-257. Zbl0303.14002MR429885
  14. [14] J. H. M. STEENBRINK, Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures, Math. Ann., 301 (1995), pp. 105-118. Zbl0814.14010MR1312571
  15. [15] J. H. M. STEENBRINK - S. ZUCKER, Variation of mixed Hodge structure. I, Invent. Math., 80 (1985), pp. 489-542. Zbl0626.14007MR791673
  16. [16] S. USUI, Recovery of vanishing cycles by log geometry, Tôhoku Math. J., 53 (1) (2001), pp. 1-36. Zbl1015.14005MR1808639

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