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Träfflista för sökning "WFRF:(Ruppenthal Jean) srt2:(2015)"

Search: WFRF:(Ruppenthal Jean) > (2015)

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1.
  • Lärkäng, Richard, 1985, et al. (author)
  • Koppelman formulas on affine cones over smooth projective complete intersections
  • 2015
  • Other publication (other academic/artistic)abstract
    • 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.
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2.
  • Ruppenthal, Jean, et al. (author)
  • Adjunction for the Grauert-Riemenschneider canonical sheaf and extension of L²-cohomology classes
  • 2015
  • In: Indiana University Mathematics Journal. - : Indiana University Mathematics Journal. - 0022-2518. ; 64:2, s. 533-558
  • Journal article (peer-reviewed)abstract
    • In the present paper, we derive an adjunction formula for the Grauert-Riemenschneider canonical sheaf of a singular hypersurface $V$ in a complex manifold $M$. This adjunction formula is used to study the problem of extending $L^2$-cohomology classes of $\bar{\partial}$-closed forms from the singular hypersurface $V$ to the manifold $M$ in the spirit of the Ohsawa-Takegoshi-Manivel extension theorem. We do that by showing that our formulation of the $L^2$-extension problem is invariant under bimeromorphic modifications, so that we can reduce the problem to the smooth case by use of an embedded resolution of $V$ in $M$. The smooth case has recently been studied by Berndtsson.
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