Mixed Hodge structures on log smooth degenerations
Fujisawa, Taro
Tohoku Math. J. (2), Tome 60 (2008) no. 1, p. 71-100 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We introduce the notion of a log smooth degeneration, which is a logarithmic analogue of the central fiber of some kind of degenerations of complex manifolds over polydiscs. Under suitable conditions, we construct a natural cohomological mixed Hodge complex on the reduction of a compact log smooth degeneration. In particular, we obtain mixed Hodge structures on the log de Rham cohomologies and $E_1$-degeneration of the log Hodge to de Rham spectral sequence for a certain kind of compact reduced log smooth degenerations.
Publié le : 2008-05-15
Classification:  14C30,  14D07,  32G20,  32S35 
@article{1206734407,
     author = {Fujisawa, Taro},
     title = {Mixed Hodge structures on log smooth degenerations},
     journal = {Tohoku Math. J. (2)},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 71-100},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1206734407}
}

Fujisawa, Taro. Mixed Hodge structures on log smooth degenerations. Tohoku Math. J. (2), Tome 60 (2008) no. 1, pp.  71-100. http://gdmltest.u-ga.fr/item/1206734407/