Sökning: (LAR1:gu) lar1:(cth) pers:(Berman Robert 1976) conttype:(refereed)
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Holomorphic Morse i...
Holomorphic Morse inequalities on manifolds with boundary
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- Berman, Robert, 1976 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2005
- 2005
- Engelska.
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Ingår i: Annales De L Institut Fourier. - 0373-0956. ; 55:4, s. 1055-
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Abstract
Ämnesord
Stäng
- Let X be a compact complex manifold with boundary and let L-k be a high power of a hermitian holomorphic line bundle over X. When X has no boundary, Demailly's holomorphic Morse inequalities give asymptotic bounds on the dimensions of the Dolbeault cohomology groups with values in Lk, in terms of the curvature of L. We extend Demailly's inequalities to the case when X has a boundary by adding a boundary term expressed as a certain average of the curvature of the line bundle and the Levi curvature of the boundary. Examples are given that show that the inequalities are sharp.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- line bundles
- cohomology
- harmonic forms
- holomorphic sections
- Bergman
- kernel
- kernel
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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