CPL - Chalmers Publication Library

# Koppelman formulas on affine cones over smooth projective complete intersections

Richard Lärkäng (Institutionen för matematiska vetenskaper, matematik) ; Jean Ruppenthal
(2015)
[Preprint]

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.

CPL Pubid: 228905

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# Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)