ar X iv : 1 50 2 . 08 04 7 v 1 [ m at h . C V ] 2 7 Fe b 20 15 L 2 ESTIMATES FOR THE ∂̄ OPERATOR

Abstract

This is a survey article about L 2 estimates for the ¯ ∂ operator. After a review of the basic approach that has come to be called the " Bochner-Kodaira Technique " , the focus is on twisted techniques and their applications to estimates for ¯ ∂, to L 2 extension theorems, and to other problems in complex analysis and geometry including invariant metric… (More)

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