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Singularities of metrics on Hodge bundles and their topological invariants
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- Eriksson, Dennis, 1981 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
- Montplet, Gerard Freixas I. (author)
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- Mourougane, Christophe (author)
- Université de Rennes 1,University of Rennes 1
- (creator_code:org_t)
- 2018
- 2018
- English.
- In: Algebraic Geometry. - 2313-1691 .- 2214-2584. ; 5:6, s. 742-775
- Journal article (peer-reviewed)
Abstract
Subject headings
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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.
Subject headings
- 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)
Keyword
- 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
Publication and Content Type
- art (subject category)
- ref (subject category)
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