Geodesic
Polarizations on limiting mixed Hodge structures
Journal of Singularities, Tome 8 (2014), pp. 146-193

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We construct polarizations of mixed Hodge structures on the relative log de Rham cohomology groups of a projective log deformation. To this end, we study the behavior of weight and Hodge filtrations under the cup product and construct a trace morphism for a projective log deformation.
DOI : 10.5427/jsing.2014.8k
Classification : 14C30, 14D07, 32G20, 32S35 
@article{10_5427_jsing_2014_8k,
     author = {Taro Fujisawa},
     title = {Polarizations on limiting mixed {Hodge} structures},
     journal = {Journal of Singularities},
     pages = {146--193},
     publisher = {mathdoc},
     volume = {8},
     year = {2014},
     doi = {10.5427/jsing.2014.8k},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.8k/}
}
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Taro Fujisawa. Polarizations on limiting mixed Hodge structures. Journal of Singularities, Tome 8 (2014), pp. 146-193. doi: 10.5427/jsing.2014.8k

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