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Okounkov Bodies and...
Okounkov Bodies and the Kähler Geometry of Projective Manifolds
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- Witt Nyström, David, 1980 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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(creator_code:org_t)
- 2023
- 2023
- Engelska.
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Ingår i: Springer Proceedings in Mathematics and Statistics. - 2194-1017 .- 2194-1009. - 9783031178580 ; 409, s. 617-632
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Abstract
Ämnesord
Stäng
- Given a projective manifold X equipped with an ample line bundle L, we show how to embed certain torus-invariant domains D⊆ Cn into X so that the Euclidean Kähler form on D extends to a Kähler form on X lying in the first Chern class of L. This is done using Okounkov bodies Δ (L), and the image of D under the standard moment map will approximate Δ (L). This means that the volume of D can be made to approximate the Kähler volume of X arbitrarily well. As a special case we can let D be an ellipsoid. We also have similar results when L is just big.
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)
Nyckelord
- Okounkov bodies
- Kahler currents
- Kahler currents
- Okounkov bodies
Publikations- och innehållstyp
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- ref (ämneskategori)
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