Search Results - "Gehlawat, Sahil"
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Regularity of the Leafwise Poincaré Metric on Singular Holomorphic Foliations
Published in The Journal of geometric analysis (01-04-2024)“…Let F be a smooth Riemann surface foliation on M \ E , where M is a complex manifold and the singular set E ⊂ M is an analytic set of codimension at least two…”
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Non-negative divisors and the Grauert metric
Published in Archiv der Mathematik (01-09-2022)“…Grauert showed that it is possible to construct complete Kähler metrics on the complement of complex analytic sets in a domain of holomorphy. In this note, we…”
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A few remarks on the Poincaré metric on a singular holomorphic foliation
Published in Journal of mathematical analysis and applications (15-08-2024)“…Let F be a Riemann surface foliation on M∖E, where M is a complex manifold and E⊂M is a closed set. Assume that F is hyperbolic, i.e. all the leaves of the…”
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A note on kernel functions of Dirichlet spaces
Published in Journal of mathematical analysis and applications (15-03-2025)“…For a planar domain Ω, we consider the Dirichlet spaces with respect to a base point ζ∈Ω and the corresponding kernel functions. It is not known how these…”
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Two remarks on the Poincaré metric on a singular Riemann surface foliation
Published in Complex variables and elliptic equations (02-11-2022)“…Let be a smooth Riemann surface foliation on , where M is a complex manifold and is a closed set. Fix a hermitian metric g on and assume that all leaves of are…”
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Few remarks on the Poincar\'e metric on a singular holomorphic foliation
Published 21-06-2023“…Let $\mathcal{F}$ be a Riemann surface foliation on $M \setminus E$, where $M$ is a complex manifold and $E \subset M$ is a closed set. Assume that…”
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Regularity of the leafwise Poincare metric on singular holomorphic foliations
Published 27-04-2023“…Let $\mathcal F$ be a smooth Riemann surface foliation on $M \setminus E$, where $M$ is a complex manifold and the singular set $E \subset M$ is an analytic…”
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Generic singularities of holomorphic foliations by curves on $\mathbb{P}^n
Published 09-09-2024“…Let $\mathcal{F}_d(\mathbb{P}^n)$ be the space of all singular holomorphic foliations by curves on $\mathbb{P}^n$ ($n \geq 2$) with degree $d \geq 1.$ We show…”
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Non-negative divisors and the Grauert metric
Published 30-03-2021“…Grauert showed that it is possible to construct complete K\"{a}hler metrics on the complement of complex analytic sets in a domain of holomorphy. In this note,…”
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10
A Note on Kernel Functions of Dirichlet Spaces
Published 12-02-2024“…Journal of Mathematical Analysis and Applications, Volume 543, Issue 2, Part 1, 15 March 2025 For a planar domain $\Omega$, we consider the Dirichlet spaces…”
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Two remarks on the Poincar\'{e} metric on a singular Riemann surface foliation
Published 20-12-2020“…Let $\mathcal{F}$ be a smooth Riemann surface foliation on $M \setminus E$, where $M$ is a complex manifold and $E \subset M$ is a closed set. Fix a hermitian…”
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12
The Reduced Bergman Kernel and its Properties
Published 12-09-2023“…International Journal of Mathematics 34 (2023), no. 3, Paper No. 2350015, 23 pp In this article, we study some properties of the $n$-th order weighted reduced…”
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On Grauert's examples of complete K\"{a}hler metrics
Published 18-07-2020“…Grauert showed that the existence of a complete K\"{a}hler metric does not characterize domains of holomorphy by constructing such metrics on the complements…”
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14
Transformation formula for the Reduced Bergman kernel and its Application
Published 27-05-2022“…Analysis Mathematica 48 (2022), no. 4, 1055-1068 In this article, we prove the transformation formula for the reduced Bergman kernels under proper holomorphic…”
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