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Lelong–Poincaré formula in symplectic and almost complex geometry.
- Source :
- Expositiones Mathematicae; Sep2020, Vol. 38 Issue 3, p337-364, 28p
- Publication Year :
- 2020
-
Abstract
- In this paper, we present two applications of the theory of singular connections developed by Harvey and Lawson (1993). The first one is a version of the Lelong–Poincaré formula with estimates for sections of vector bundles over an almost complex manifold. The second one is a convergence theorem for divisors associated to a general family of symplectic submanifolds constructed by Donaldson (1996) (the case of hypersurfaces) and by Auroux in (1997) (for arbitrary dimensional submanifolds). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 07230869
- Volume :
- 38
- Issue :
- 3
- Database :
- Supplemental Index
- Journal :
- Expositiones Mathematicae
- Publication Type :
- Periodical
- Accession number :
- 145698811
- Full Text :
- https://doi.org/10.1016/j.exmath.2019.04.004