L Extension of ∂̄-closed Forms from a Hypersurface
نویسنده
چکیده
Let X be a Kähler manifold of complex dimension n with smooth Kähler metric ω, and Z ⊂ X a smooth complex hypersurface. Let L→ X be a holomorphic line bundle with a possibly singular Hermitian metric e−φ whose singular locus does not lie in Z, i.e., such that e|Z is a metric for L|Z . Assume also that the line bundle EZ → X associated to the divisor Z has a holomorphic section fZ such that Z = {x ∈ X ; fZ(x) = 0}, and a singular Hermitian metric e−λZ , such that
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