TheE3∕Z3orbifold, mirror symmetry, and Hodge structures of Calabi–Yau type
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DOI: 10.1016/j.geomphys.2018.12.020
Abstract: Starting from the K\"ahler moduli space of the rigid orbifold Z=E^3/\mathbb{Z}_3 one would expect for the cohomology of the generalized mirror to be a Hodge structure of Calabi-Yau type (1,9,9,1). We show that such a… read more here.
Keywords: mirror; calabi yau; hodge; yau type ... See more keywords
Computing Heights via Limits of Hodge Structures
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DOI: 10.1080/10586458.2023.2188318
Abstract: We consider the problem of explicitly computing Beilinson--Bloch heights of homologically trivial cycles on varieties defined over number fields. Recent results have established a congruence, up to the rational span of logarithms of primes, between… read more here.
Keywords: via limits; beilinson bloch; computing heights; heights via ... 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