Results 1 to 10 of about 212 (76)
LOCAL SYSTEMS ON COMPLEMENTS OF ARRANGEMENTS OF SMOOTH, COMPLEX ALGEBRAIC HYPERSURFACES
Forum of Mathematics, Sigma, 2018 We consider smooth, complex quasiprojective varieties $U$ that admit a compactification with a boundary, which is an arrangement of smooth algebraic hypersurfaces. If the hypersurfaces intersect locally like hyperplanes,
GRAHAM DENHAM, ALEXANDER I. SUCIU
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Cohomology with bounds and Carleman estimates for the ∂¯-operator on Stein manifolds
International Journal of Mathematics and Mathematical Sciences, 2002 Cohomology with bounds are used to globalize a result of Hörmander obtaining Carleman estimates for the Cauchy-Riemann operator on Stein manifolds.
Patrick W. Darko
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Compactness of the Complex Green Operator on C1 Pseudoconvex Boundaries in Stein Manifolds
MathematicsWe study compactness for the complex Green operator Gq associated with the Kohn Laplacian □b on boundaries of pseudoconvex domains in Stein manifolds. Let Ω⋐X be a bounded pseudoconvex domain in a Stein manifold X of complex dimension n with C1 boundary.
Abdullah Alahmari +4 more
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Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds
Comptes Rendus. MathématiqueWe show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a sequence of smooth Hermitian metrics with the same curvature negativity.
Deng, Fusheng +3 more
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A Sheaf-Theoretic CR Reduction for Levi-Flat Manifolds Beyond the Kähler Setting
International Journal of Mathematics and Mathematical SciencesThis paper develops a sheaf-theoretic reduction formalism for real-analytic homogeneous CR manifolds realized as orbits in complex homogeneous manifolds.
Abdel Rahman Al-Abdallah
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Advanced Nonlinear StudiesOn general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
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Inference for Gaussian Processes with Matérn Covariogram on Compact Riemannian Manifolds. [PDF]
J Mach Learn Res, 2023 Li D, Tang W, Banerjee S.
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Equivariant Oka theory: survey of recent progress. [PDF]
Complex Analysis Synerg, 2022 Kutzschebauch F +2 more
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Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]
Calc Var Partial Differ Equ, 2023 Don S, Magnani V.
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