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The union problem on complex manifolds
Published 2002-01-01“…Let Ω be a relatively compact subdomain of a complex manifold, exhaustable by Stein open sets. We give a necessary and sufficient condition for Ω to be Stein, in terms of L2 -estimates for the ∂¯-operator, equivalent to the condition of Markoe (1977) and Silva (1978).…”
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Differential forms and invariants of complex manifolds
Published 2025-05-01“…Complex Manifolds…”
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A∞-structures for Bott-Chern and Aeppli cohomologies
Published 2025-05-01Subjects: “…complex manifolds…”
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On Veech groups of infinite superelliptic curves
Published 2025-07-01“…Complex Manifolds…”
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Real structures on primary Hopf surfaces
Published 2024-12-01“…Complex Manifolds…”
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Complex structures on product manifolds
Published 2025-07-01“…Complex Manifolds…”
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A Measurable Stability Theorem for Holomorphic Foliations Transverse to Fibrations
Published 2012-01-01“…Similarly, we prove that a finitely generated subgroup of holomorphic diffeomorphisms of a connected complex manifold is finite provided that the set of periodic orbits is not a zero measure subset.…”
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Submanifolds of F-structure manifold satisfying FK+(−)K+1F=0
Published 2001-01-01“…We show that an invariant submanifold M˜, embedded in an F-structure manifold M in such a way that the complementary distribution Dm is never tangential to the invariant submanifold ψ(M˜), is an almost complex manifold with the induced F˜-structure. Some theorems regarding the integrability conditions of induced F˜-structure are proved.…”
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FORMATION OF MODERN MATHEMATICAL APPROACH TO SOLVING PROBLEMS OF PHYSICS
Published 2022-04-01“…The comparison of two approaches to the description of Calabi-Yau manifold as a complex manifold and as weighted projective space led us to the conclusion about the equivalence of these two treatments in the context of calculation of the Euler characteristic. …”
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Derived Categories and the Analytic Approach to General Reciprocity Laws: Part III
Published 2010-01-01“…Employing recent work by Bridgeland on stability conditions, we extend our yoga of t-structures situated above diagrams of specifically designed derived categories to arrangements of metric spaces or complex manifolds. This prepares the way for proving n-Hilbert reciprocity by means of singularity analysis.…”
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On the normalization of open-closed string amplitudes
Published 2025-05-01“…The challenge with signs arises because the relevant moduli spaces are not complex manifolds and have no obvious orientation. We deal with this by fixing a specific convention for the sign of the integration measure over the moduli space and adopting a consistent prescription for the ordering of operators and ghost insertions inside correlators.…”
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