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ALGEBRAIC FIBER SPA...
ALGEBRAIC FIBER SPACES and CURVATURE of HIGHER DIRECT IMAGES
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- Berndtsson, Bo, 1950 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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- Pǎun, Mihai (författare)
- Universität Bayreuth,University of Bayreuth
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- Wang, Xu (författare)
- Norges teknisk-naturvitenskapelige universitet (NTNU),Norwegian University of Science and Technology (NTNU)
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(creator_code:org_t)
- 2022
- 2022
- Engelska.
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Ingår i: Journal of the Institute of Mathematics of Jussieu. - 1474-7480 .- 1475-3030. ; 21:3, s. 973-1028
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Abstract
Ämnesord
Stäng
- Let p : X → Y be an algebraic fiber space, and let L be a line bundle on. In this article, we obtain a curvature formula for the higher direct images of ΩiX/Y ⊗ L restricted to a suitable Zariski open subset of X. Our results are particularly meaningful if L is semi-negatively curved on X and strictly negative or trivial on smooth fibers of p. Several applications are obtained, including a new proof of a result by Viehweg-Zuo in the context of a canonically polarized family of maximal variation and its version for Calabi-Yau families. The main feature of our approach is that the general curvature formulas we obtain allow us to bypass the use of ramified covers - and the complications that are induced by them.
Ämnesord
- 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)
Nyckelord
- Higher direct imags of relative canonical bundle
- Posititivity
- Curvture
- Hodge theory
- Singular metrics
- Curvture
- Higher direct imags of relative canonical bundle
- Hodge theory
- Posititivity
- Singular metrics
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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