Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Varolin, Dror"'
Autor:
Varolin, Dror
We introduce a notion of Nakano and Demailly positivity for singular Hermitian metrics of holomorphic vector bundles. Our definitions support the usual H\"ormander and Nadel type vanishing theorems with estimates, at least on essentially Stein manifo
Externí odkaz:
http://arxiv.org/abs/2308.13364
Autor:
Varolin, Dror
Drawing on work of Berndtsson and of Lempert and Sz\H{o}ke, we define a kind of complex analytic structure for families of (possibly finite-dimensional) Hilbert spaces that might not fit together to form a holomorphic vector bundle but nevertheless h
Externí odkaz:
http://arxiv.org/abs/2201.12802
Autor:
Pingali, Vamsi, Varolin, Dror
The relationship between interpolation and separation properties of hypersurfaces in Bargmann-Fock spaces over $\mathbb{C} ^n$ is not well-understood except for $n=1$. We present four examples of smooth affine algebraic hypersurfaces that are not uni
Externí odkaz:
http://arxiv.org/abs/1810.00895
Autor:
McNeal, Jeffery D., Varolin, Dror
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 $L^2$ extension and of the new approach to $L^2$ extension introduced by Berndts
Externí odkaz:
http://arxiv.org/abs/1707.04483
Autor:
McNeal, Jeffery D., Varolin, Dror
We establish $L^2$ extension theorems for $\bar \partial$-closed $(0,q)$-forms with values in a holomorphic line bundle with smooth Hermitian metric, from a smooth hypersurface on a Stein manifold. Our result extends (and gives a new, perhaps more cl
Externí odkaz:
http://arxiv.org/abs/1502.08054
Autor:
McNeal, Jeffery D., Varolin, Dror
This is a survey article about $L^2$ estimates for the $\bar \partial$ operator. After a review of the basic approach that has come to be called the "Bochner-Kodaira Technique", the focus is on twisted techniques and their applications to estimates f
Externí odkaz:
http://arxiv.org/abs/1502.08047
Autor:
Varolin, Dror
We formulate the Bergman-type interpolation problem on finite open Riemann surfaces covered by the unit disk. Our version of the interpolation problem generalizes Bergman-type interpolation problems previously studied by Seip, Berntsson, Ortega Cerd\
Externí odkaz:
http://arxiv.org/abs/1501.02225
Autor:
Varolin, Dror
We study the Bergman space interpolation problem of open Riemann surfaces obtained from a compact Riemann surface by removing a finite number of points. We equip such a surface with what we call an asymptotically flat conformal metric, i.e., a comple
Externí odkaz:
http://arxiv.org/abs/1411.0555