In this note we consider ∂̄-problem in line bundles over complex projective space ℂℙ1 and prove that the equation can be solved for (0, 1) forms with compact support. As a consequence, any Cauchy-Riemann function on a compact real hypersurface in such line bundles is a jump of two holomorphic functions defined on the sides of the hypersurface. In particular, the results can be applied to ℂℙ2 since by removing a point from it we get a line bundle over ℂℙ
AbstractThe Riemann jump problem is solved for analytic functions of several complex variables with ...
summary:Let $X$ be a reduced $n$-dimensional complex space, for which the set of singularities consi...
In this paper, we use a perturbed version of the Rabinowitz\u2013Floer homology to find solutions to...
The main result of this paper is the existence of solutions of the equation View the MathML source f...
summary:Let $X$ be a reduced $n$-dimensional complex space, for which the set of singularities consi...
For a reduced curve C : f = 0 in the complex projective plane P 2 , we study the set of jumping line...
For a reduced curve C : f = 0 in the complex projective plane P 2 , we study the set of jumping line...
Let $X$ be a connected, compact complex manifold, $S\subset X$ a separating real hypersurface, so $...
We study holomorphic bundles over P1 x U with structure group G, where G is a complex reductive Lie ...
This thesis consists of six parts. In the first part, we give a general introduction of our topics. ...
Given a smooth complex projective variety X and an ample line bundle L on it, one can associate the ...
We study the degeneration of semipositive smooth hermitian line bundles on open complex manifolds, a...
In this paper, we use a perturbed version of the Rabinowitz–Floer homology to find solutions to PDE'...
Abstract. Let V be a complex localizing Banach space with countable un-conditional basis and E a ran...
summary:Let $X$ be a reduced $n$-dimensional complex space, for which the set of singularities consi...
AbstractThe Riemann jump problem is solved for analytic functions of several complex variables with ...
summary:Let $X$ be a reduced $n$-dimensional complex space, for which the set of singularities consi...
In this paper, we use a perturbed version of the Rabinowitz\u2013Floer homology to find solutions to...
The main result of this paper is the existence of solutions of the equation View the MathML source f...
summary:Let $X$ be a reduced $n$-dimensional complex space, for which the set of singularities consi...
For a reduced curve C : f = 0 in the complex projective plane P 2 , we study the set of jumping line...
For a reduced curve C : f = 0 in the complex projective plane P 2 , we study the set of jumping line...
Let $X$ be a connected, compact complex manifold, $S\subset X$ a separating real hypersurface, so $...
We study holomorphic bundles over P1 x U with structure group G, where G is a complex reductive Lie ...
This thesis consists of six parts. In the first part, we give a general introduction of our topics. ...
Given a smooth complex projective variety X and an ample line bundle L on it, one can associate the ...
We study the degeneration of semipositive smooth hermitian line bundles on open complex manifolds, a...
In this paper, we use a perturbed version of the Rabinowitz–Floer homology to find solutions to PDE'...
Abstract. Let V be a complex localizing Banach space with countable un-conditional basis and E a ran...
summary:Let $X$ be a reduced $n$-dimensional complex space, for which the set of singularities consi...
AbstractThe Riemann jump problem is solved for analytic functions of several complex variables with ...
summary:Let $X$ be a reduced $n$-dimensional complex space, for which the set of singularities consi...
In this paper, we use a perturbed version of the Rabinowitz\u2013Floer homology to find solutions to...
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