Definition of Dolbeault. Meaning of Dolbeault. Synonyms of Dolbeault

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Definition of Dolbeault

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Meaning of Dolbeault from wikipedia

- projections defined in the previous subsection, it is possible to define the Dolbeault operators: ∂ = π p + 1 , q ∘ d : Ω p , q → Ω p + 1 , q , ∂ ¯ = π p , q...
- in algebraic geometry and differential geometry, Dolbeault cohomology (named after Pierre Dolbeault) is an analog of de Rham cohomology for complex manifolds...
- Pierre Dolbeault (October 10, 1924 – June 12, 2015) was a French mathematician. Dolbeault studied with Henri Cartan and graduated in 1944 from the École...
- obtains a converse to the construction of the Dolbeault operator of a holomorphic bundle: Theorem: Given a Dolbeault operator ∂ ¯ E {\displaystyle {\bar {\partial...
- set, the boundary operator in a chain complex, and the conjugate of the Dolbeault operator on smooth differential forms over a complex manifold. It should...
- collection of identities between operators on a Kähler manifold relating the Dolbeault operators and their adjoints, contraction and wedge operators of the Kähler...
- complex algebraic varieties, by an application of Dolbeault's theorem relating sheaf cohomology to Dolbeault cohomology. Let X be a smooth variety of dimension...
- inequalities for convex domains". arXiv:1110.2960 [math.AP]. Del Pino, M.; Dolbeault, J. (2002). "Best constants for Gagliardo–Nirenberg inequalities and applications...
- form. Here ∂ , ∂ ¯ {\displaystyle \partial ,{\bar {\partial }}} are the Dolbeault operators. The function ρ {\displaystyle \rho } is called a Kähler potential...
- ^{n},{\mathcal {O}}_{\mathbb {C} ^{n}}^{\star })} and we can apply the Dolbeault isomorphism to calculate H 1 ( C n , O C n ) ≃ H 1 ( C n , Ω C n 0 ) ≃...