Averaging of the Cauchy kernels and integral realization of the local residue

AA Kytmanov, AY Semusheva - Mathematische Zeitschrift, 2010 - Springer
We consider a family of kernels of integral representations associated with toric varieties.
These kernels generalizes, in particular, the Bochner-Martinelli form. We show that the …

[PDF][PDF] Multidimensional residue theory and applications

CA Berenstein, A Vidras, A Yger - manuscript in preparation, AMS … - math.u-bordeaux.fr
Multidimensional residue theory and applications Carlos Berenstein Alekos Vidras Alain Yger
Page 1 Multidimensional residue theory and applications Carlos Berenstein Alekos Vidras …

An interpolation theorem in toric varieties

M Weimann - Annales de l'institut Fourier, 2008 - numdam.org
In the spirit of a theorem of Wood, we give necessary and sufficient conditions for a family of
germs of analytic hypersurfaces in a smooth projective toric variety X to be interpolated by …

Koppelman Formulas on Smooth Compact Toric Varieties

C Tryfonos, A Vidras - Results in Mathematics, 2022 - Springer
In this paper we derive an explicit Koppelman integral representation formula in terms of the
combinatorial data on smooth compact toric varieties for (0, q) smooth forms taking values in …

Concavity, Abel transform and the Abel-inverse theorem in smooth complete toric varieties

M Weimann - Collectanea mathematica, 2013 - Springer
We extend the usual projective Abel transform to the larger context of a smooth complete
toric variety X. We define and study toric E-concavity attached to a split vector bundle on X …

[PDF][PDF] An interpolation theorem in toric varieties

W Martin - 2006 - researchgate.net
An interpolation theorem in toric varieties Page 1 An interpolation theorem in toric varieties
WEIMANN Martin December 13, 2006 Abstract In the spirit of a theorem of Wood [16], we give …

[引用][C] Some aspects of weighted Koppelman integral representation formulas and their applications

CG Tryfonos - 2017 - … /University of Cyprus, Faculty of Pure …