Tohoku Mathematical Journal
2007
September
SECOND SERIES VOL. 59, NO. 3

Tohoku Math. J.
59 (2007), 341-363

Title ON THE HODGE STRUCTURE OF DEGENERATING HYPERSURFACES IN TORIC VARIETIES

Author Atsushi Ikeda

(Received December 13, 2005, revised February 26, 2007)
Abstract. 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.

2000 Mathematics Subject Classification. Primary 14D06; Secondary 14J70, 14M25.

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