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Singularities of me...
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Eriksson, Dennis,1981Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
(author)
Singularities of metrics on Hodge bundles and their topological invariants
- Article/chapterEnglish2018
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2018
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LIBRIS-ID:oai:research.chalmers.se:9e62e9b9-c550-42e8-90cc-a566da65f841
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https://research.chalmers.se/publication/506911URI
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https://doi.org/10.14231/AG-2018-021DOI
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https://gup.ub.gu.se/publication/273966URI
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Language:English
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Summary in:English
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We consider degenerations of complex projective Calabi-Yau varieties and study the singularities of L2, Quillen and BCOV metrics on Hodge and determinant bundles. The dominant and subdominant terms in the expansions of the metrics close to non-smooth fibers are shown to be related to well-known topological invariants of singularities, such as limit Hodge structures, vanishing cycles and log-canonical thresholds. We also describe corresponding invariants for more general degenerating families in the case of the Quillen metric.
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Montplet, Gerard Freixas I.
(author)
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Mourougane, ChristopheUniversité de Rennes 1,University of Rennes 1
(author)
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Göteborgs universitetInstitutionen för matematiska vetenskaper
(creator_code:org_t)
Related titles
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In:Algebraic Geometry5:6, s. 742-7752313-16912214-2584
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