Results 11 to 20 of about 130 (112)
Leray–Hirsch theorem and blow-up formula for Dolbeault cohomology [PDF]
Annali Di Matematica Pura Ed Applicata, 2020 We prove a theorem of Leray-Hirsch type and give an explicit blow-up formula for Dolbeault cohomology on (\emph{not necessarily compact}) complex manifolds. We give applications to strongly $q$-complete manifolds and the $\partial\bar{\partial}$-lemma.
Lingxu Meng, Meng Lingxu
exaly +4 more sources
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
exaly +3 more sources
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
exaly +5 more sources
Dolbeault cohomology of compact complex homogeneous manifolds
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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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
doaj +1 more source
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
openaire +3 more sources
Comptes Rendus. Mathématique, 2021 We give a simple proof of a result on the $\partial \bar{\partial }$-lemma property under a blow-up transformation by Deligne–Griffiths–Morgan–Sullivan’s criterion.
Meng, Lingxu
doaj +1 more source
Superconformal quantum mechanics and growth of sheaf cohomology
Journal of High Energy Physics, 2023 We give a geometric interpretation for superconformal quantum mechanics defined on a hyper-Kähler cone which has an equivariant symplectic resolution. BPS states are identified with certain twisted Dolbeault cohomology classes on the resolved space and ...
Nick Dorey, Boan Zhao
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ON DE RHAM AND DOLBEAULT COHOMOLOGY OF SOLVMANIFOLDS [PDF]
Transformation Groups, 2016 23 pages; to appear in Transformation ...
Console, S., Fino, A., Kasuya, H.
openaire +2 more sources
Alternative formulations of the twistor double copy
Journal of High Energy Physics, 2022 The classical double copy relating exact solutions of biadjoint scalar, gauge and gravity theories continues to receive widespread attention. Recently, a derivation of the exact classical double copy was presented, using ideas from twistor theory, in ...
Erick Chacón +2 more
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