Semiglobal results for d-bar on complex spaces with arbitrary singularities, Part II

Details Semiglobal results for d-bar on complex spaces with arbitrary singularities, Part II Semiglobal results for d-bar on complex spaces with arbitrary singularities, Part II

2009-03-23

arxiv.org/abs/0903.3922v1

Mathematics

Complex Variables

Scientific paper

We obtain some L2 results for d-bar on forms that vanish to high order on the singular set of a complex space. As a consequence of our main theorem we obtain weighted L2-solvability results for compactly supported d-bar closed (p,q) forms defined on certain relatively compact subdomains of the complex space. The latter result can be used to give an alternate proof of a theorem of Merker and Porten.

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