A geometric proof of the Lelong-Poincaré formula
We propose a geometric proof of the fundamental Lelong-Poincaré formula : dd c log |/ | = [/ = 0] where f is any nonzero holomorphic function defined on a complex analytic manifold V and [/ = 0] is the integration current on the divisor of the zeroes of /. Our approach is based, via the local parametrization theorem, on a precise study of the local geometry of the hypersurface given by /. Our proof extends naturally to the meromorphic case.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Católica del Norte, Departamento de Matemáticas
2013
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000100001 |
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