38 citations · 73 across the 21 of their papers we have counts for
23 papers
Positivity and Extension
Dror Varolin
We examine the relationship between positivity of a vector bundle E and the problem of extension of holomorphic E-valued forms of top degree. In particular, we show by exampl…
Positivity of Singular Hermitian Metrics for Holomorphic Vector Bundles
Dror Varolin
We introduce a notion of Nakano and Demailly positivity for singular Hermitian metrics of holomorphic vector bundles. Our definitions support the usual Hörmander and Nadel type van…
Berndtsson-Lempert-Szőke Fields Associated to Proper Holomorphic Families of Vector Bundles
Dror Varolin
Drawing on work of Berndtsson and of Lempert and Szőke, we define a kind of complex analytic structure for families of (possibly finite-dimensional) Hilbert spaces that might not f…
Non-uniformly flat affine algebraic hypersurfaces
Vamsi Pingali, Dror Varolin
The relationship between interpolation and separation properties of hypersurfaces in Bargmann-Fock spaces over is not well-understood except for . We present f…
Extension of Jets With Estimates, and an Application
Jeffery D. McNeal, Dror Varolin
We study the problem of extension of normal jets from a hypersurface, with focus on the growth order of the constant. Using aspects of the standard, twisted approach for exte…
Extension of -closed forms from a hypersurface
Jeffery D. McNeal, Dror Varolin
We establish extension theorems for -closed -forms with values in a holomorphic line bundle with smooth Hermitian metric, from a smooth hypersurface on…