Atsushi Ikeda
Abstract
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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.
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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.
Key concepts: Mathematics, Pure mathematics, Equivariant map, Morphism, Toric variety, Logarithm, Algebraic variety, Differential (mechanical device)