Results 11 to 20 of about 32,264 (146)
Dolbeault cohomology of compact complex homogeneous manifolds [PDF]
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 1999 If a complex transformation group \(G\) acts on a complex manifold \(M\), there is an induced action of \(G\) on the Dolbeault cohomology of \(M\). This action must be trivial if \(M\) is compact Kähler, but may be non-trivial in general (as was shown by examples of Kodaira and Lescure).
Parameswaran Sankaran
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An Integral Operator into Dolbeault Cohomology [PDF]
Journal of Functional Analysis, 1996 The authors present a construction for an integral transform from sections of a vector bundle over a given manifold into Dolbeault cohomology of a related holomorphic vector bundle over another manifold. If \(Y @> \rho>> X\), \(Y @>\pi>> Z\) is a double fibration of smooth manifolds with \(Z\) having a complex structure, then the integral transform \({\
Barchini, L. +2 more
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Intertwining operators into Dolbeault cohomology representations [PDF]
Journal of Functional Analysis, 1992 Let \(G\) be a linear connected semisimple real Lie group with the complexification \(G^ C\), let \(K\) be a maximal compact subgroup in \(G\) and let \(T\) be a torus in \(K\) with \(L\) the centralizer of \(T\) in \(G\). The authors assume that \(G\) and \(L\) have the same real rank.
Barchini, L., Knapp, A.W., Zierau, R.
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On Cohomology Groups of Certain Subcomplexes of Dolbeault Complexes [PDF]
Proceedings of the American Mathematical Society, 1973 The paper first shows that for a path connected topological group acting analytically on a complex manifold M M , the ...
Shaw Mong
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Techniques of computations of Dolbeault cohomology of solvmanifolds [PDF]
Mathematische Zeitschrift, 2012 We consider semi-direct products $\C^{n}\ltimes_ϕN$ of Lie groups with lattices $Γ$ such that $N$ are nilpotent Lie groups with left-invariant complex structures. We compute the Dolbeault cohomology of direct sums of holomorphic line bundles over $G/Γ$ by using the Dolbeaut cohomology of the Lie algebras of the direct product $\C^{n}\times N$.
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Sato hyperfunctions via relative Dolbeault cohomology
Journal of the Mathematical Society of Japan, 2023 The relative Dolbeault cohomology which naturally comes up in the theory of Cech-Dolbeault cohomology turns out to be canonically isomorphic with the local (relative) cohomology of A. Grothendieck and M. Sato so that it provides a handy way of representing the latter.
Naofumi Honda
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Weighted Bott–Chern and Dolbeault cohomology for LCK-manifolds with potential
Journal of the Mathematical Society of Japan, 2018 18 pages, v. 2.0.
Liviu Ornea +2 more
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Complex-Foliated Structures. I. Cohomology of the Dolbeault-Kostant Complexes [PDF]
Transactions of the American Mathematical Society, 1979 We study the cohomology of differential complexes, which we shall call Dolbeault-Kostant complexes, defined by certain integrable sub-bundles F of the complex tangent bundle of a manifold M .
Fischer, Hans R., Williams, Floyd L.
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From β to η: a new cohomology for deformed Sasaki-Einstein manifolds
Journal of High Energy Physics, 2022 We discuss in detail the different analogues of Dolbeault cohomology groups on Sasaki-Einstein manifolds and prove a new vanishing result for the transverse Dolbeault cohomology groups H ∂ ¯ p 0 k $$ {H}_{\overline{\partial}}^{\left(p,0\right)}(k ...
Edward Lødøen Tasker
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On Carleman formulas for the Dolbeault Cohomology [PDF]
ANNALI DELL UNIVERSITA DI FERRARA, 1999 Let \(D\) be a bounded domain in \(\mathbb{C}^n\) with piecewise smooth boundary and \(S\) be an open subset of \(\partial D\). The aim of the paper is to construct Carleman type formulas for \(\overline\partial\)-closed \((p,q)\)-forms on \(\overline D\): \[ u(z)= \lim_{\varepsilon\to 0} \int_S u\wedge C^{(p)}_{q+ 1}(\varepsilon; z,.)+ \overline ...
Nacinovich, Mauro +2 more
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