On the Hodge structure of degenerating hypersurfaces in toric varieties
Ikeda, Atsushi
Tohoku Math. J. (2), Tome 59 (2007) no. 1, p. 341-363 / Harvested from Project Euclid
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We introduce an algebraic method for describing the Hodge filtration of degenerating hypersurfaces in projective toric varieties. For this purpose, we show several fundamental properties of logarithmic differential forms on proper equivariant morphisms of toric varieties.
Publié le : 2007-05-14
Classification:  14D06,  14J70,  14M25 
@article{1192117982,
     author = {Ikeda, Atsushi},
     title = {On the Hodge structure of degenerating hypersurfaces in toric varieties},
     journal = {Tohoku Math. J. (2)},
     volume = {59},
     number = {1},
     year = {2007},
     pages = { 341-363},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1192117982}
}

Ikeda, Atsushi. On the Hodge structure of degenerating hypersurfaces in toric varieties. Tohoku Math. J. (2), Tome 59 (2007) no. 1, pp.  341-363. http://gdmltest.u-ga.fr/item/1192117982/