Mixed Hodge-Riemann bilinear relations and m-positivity
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DOI: 10.1007/s11425-020-1704-2
Abstract: Motivated by our previous work on Hodge-index type theorems, we give a form of mixed Hodge-Riemann bilinear relation by using the notion of m -positivity, whose proof is an adaptation of the works of Timorin… read more here.
Keywords: positivity; mixed hodge; hodge riemann; riemann bilinear ... See more keywords
Variation of Mixed Hodge Structures Associated to an Equisingular One-dimensional Family of Calabi-Yau Threefolds
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DOI: 10.4153/s0008414x20000024
Abstract: Abstract We study the variations of mixed Hodge structures (VMHS) associated with a pencil ${\mathcal{X}}$ of equisingular hypersurfaces of degree $d$ in $\mathbb{P}^{4}$ with only ordinary double points as singularities, as well as the variations… read more here.
Keywords: hodge; hodge structures; variation mixed; mixed hodge ... See more keywords