Oka principle for Levi flat manifolds
| Autor: | Giuseppe Tomassini, Samuele Mongodi |
|---|---|
| Přispěvatelé: | Mongodi, S, Tomassini, G |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Oka principle
semiholomorphic foliations levi-flat hypersurfaces classification of line bundles CR geometry Pure mathematics Mathematics::Complex Variables Mathematics - Complex Variables General Mathematics 010102 general mathematics Holomorphic function Homotopy principle 32V05 32L05 32L10 32L20 Type (model theory) Space (mathematics) 01 natural sciences Foliation Manifold Bundle FOS: Mathematics 0101 mathematics Complex Variables (math.CV) Mathematics::Symplectic Geometry Mathematics |
| Popis: | The name of Oka principle, or Oka–Grauert principle, is traditionally used to refer to the holomorphic incarnation of the homotopy principle: on a Stein space, every problem that can be solved in the continuous category, can be solved in the holomorphic category as well. In this note, we begin the study of the same kind of questions on a Levi-flat manifold; more precisely, we try to obtain a classification of CR-bundles on a semiholomorphic foliation of type (n, 1). Our investigation should only be considered a preliminary exploration, as it deals only with some particular cases, either in terms of regularity or bidegree of the bundle, and partial results. |
| Databáze: | OpenAIRE |
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