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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
Publisher, publication year, extent ...
- 2018
- electronicrdacarrier
Numbers
- LIBRIS-ID:oai:research.chalmers.se:9e62e9b9-c550-42e8-90cc-a566da65f841
- https://research.chalmers.se/publication/506911URI
- https://doi.org/10.14231/AG-2018-021DOI
- https://gup.ub.gu.se/publication/273966URI
Supplementary language notes
- Language:English
- Summary in:English
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- SwePubSwePub
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Notes
- 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.
Subject headings and genre
- NATURVETENSKAP Matematik Algebra och logik hsv//swe
- NATURAL SCIENCES Mathematics Algebra and Logic hsv//eng
- NATURVETENSKAP Matematik Geometri hsv//swe
- NATURAL SCIENCES Mathematics Geometry hsv//eng
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- Log-canonical threshold
- Vanishing cycle
- Milnor number
- Quillen metric
- L -metric 2
- BCOV metric
- Degeneracy index
- Hodge bundles
- Limit Hodge structure
- BCOV metric
- Degeneracy index
- Hodge bundles
- L2-metric
- Limit Hodge structure
- Log-canonical threshold
- Milnor number
- Quillen metric
- Vanishing cycle
Added entries (persons, corporate bodies, meetings, titles ...)
- Montplet, Gerard Freixas I. (author)
- Mourougane, ChristopheUniversité de Rennes 1,University of Rennes 1 (author)
- Göteborgs universitetInstitutionen för matematiska vetenskaper (creator_code:org_t)
Related titles
- In:Algebraic Geometry5:6, s. 742-7752313-16912214-2584
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