Koppelman formulas on affine cones over smooth projective complete intersections
Preprint, 2015

In the present paper, we study regularity of the Andersson-Samuelsson Koppelman integral operator on affine cones over smooth projective complete intersections. Particularly, we prove L^p- and C^\alpha-estimates, and compactness of the operator, when the degree is sufficiently small. As applications, we obtain homotopy formulas for different \dbar-operators acting on L^p-spaces of forms, including the case p=2 if the varieties have canonical singularities. We also prove that the A-forms introduced by Andersson-Samuelsson are C^\alpha for \alpha<1.


Richard Lärkäng

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Jean Ruppenthal


Basic sciences

Subject Categories


Mathematical Analysis

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