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A generalized Poinc...
A generalized Poincare-Lelong formula
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- Andersson, Mats, 1957 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2007
- 2007
- Engelska.
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Ingår i: Mathematica Scandinavica. - 0025-5521 .- 1903-1807. ; 101:2, s. 195-218
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Abstract
Ämnesord
Stäng
- We prove a generalization of the classical Poincare-Lelong formula. Given a holomorphic section f, with zero set Z, of a Hermitian vector bundle E -> X, let S be the line bundle over X\Z spanned by f and let Q = E/S. Then the Chern form c(D-Q) is locally integrable and closed in X and there is a current W such that dd(c)W = c(D-E) - c(D-Q) - M, where M is a current with support on Z. In particular, the top Bott-Chern class is represented by a current with support on Z. We discuss positivity of these currents, and we also reveal a close relation with principal value and residue currents of Cauchy-Fantappie-Leray type.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- RESIDUE CURRENTS
- RESIDUE CURRENTS
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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