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Branched Coverings and Minimal Free Resolution for Infinite-Dimensional Complex Spaces
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E. Ballico
Veröffentlicht/Copyright:
26. Februar 2010
Abstract
We consider the vanishing problem for higher cohomology groups on certain infinite-dimensional complex spaces: good branched coverings of suitable projective spaces and subvarieties with a finite free resolution in a projective space P(V ) (e.g. complete intersections or cones over finitedimensional projective spaces). In the former case we obtain the vanishing result for H1. In the latter case the corresponding results are only conditional for sheaf cohomology because we do not have the corresponding vanishing theorem for P(V ).
Key words and phrases:: Infinite-dimensional projective space; complex Banach manifold; branched covering; vanishing of cohomology
Received: 2002-01-14
Revised: 2002-07-24
Published Online: 2010-02-26
Published in Print: 2003-March
© Heldermann Verlag
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Artikel in diesem Heft
- On One Theorem of S. Warschawski
- Investigation of Two-Dimensional Models of Elastic Prismatic Shell
- Branched Coverings and Minimal Free Resolution for Infinite-Dimensional Complex Spaces
- Operational Identities for Circular and Hyperbolic Functions and Their Generalizations
- Bi-Hamiltonian Structure as a Shadow of Non-Noether Symmetry
- On the Oscillation of Solutions of First Order Differential Equations with Retarded Arguments
- Combinatorial Homology in a Perspective of Image Analysis
- Internal Crossed Modules
- Cochain Operations Defining Steenrod ⌣𝑖-Products in the Bar Construction
- On Maximal 𝑜𝑡-Subsets of the Euclidean Plane
- Inversion of the Cauchy Integral Taken over the Double Periodic Line
- Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent
- Local Growth of Weierstrass σ-Function and Whittaker-Type Derivative Sampling
- Sturm–Liouville and Focal Higher Order BVPs with Singularities in Phase Variables
- On Some Convexity Properties of Generalized Cesáro Sequence Spaces
Schlagwörter für diesen Artikel
Infinite-dimensional projective space;
complex Banach manifold;
branched covering;
vanishing of cohomology
Artikel in diesem Heft
- On One Theorem of S. Warschawski
- Investigation of Two-Dimensional Models of Elastic Prismatic Shell
- Branched Coverings and Minimal Free Resolution for Infinite-Dimensional Complex Spaces
- Operational Identities for Circular and Hyperbolic Functions and Their Generalizations
- Bi-Hamiltonian Structure as a Shadow of Non-Noether Symmetry
- On the Oscillation of Solutions of First Order Differential Equations with Retarded Arguments
- Combinatorial Homology in a Perspective of Image Analysis
- Internal Crossed Modules
- Cochain Operations Defining Steenrod ⌣𝑖-Products in the Bar Construction
- On Maximal 𝑜𝑡-Subsets of the Euclidean Plane
- Inversion of the Cauchy Integral Taken over the Double Periodic Line
- Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent
- Local Growth of Weierstrass σ-Function and Whittaker-Type Derivative Sampling
- Sturm–Liouville and Focal Higher Order BVPs with Singularities in Phase Variables
- On Some Convexity Properties of Generalized Cesáro Sequence Spaces
