منابع مشابه
Holomorphic Hulls and Holomorphic Convexity of Differentiable Submanifolds
Introduction. The concept of holomorphic hull (or envelope of holomorphy) of a set A on a complex manifold X has been studied extensively in various cases. If A is a domain in Cn, then the holomorphic hull of A is a well-defined Stein manifold spread over C. There are also many examples of lower dimensional sets A in C, «> 1, in which all holomorphic functions on A can be continued analytically...
متن کاملComplex Counterpart of Chern-Simons-Witten Theory and Holomorphic Linking
In this paper we are begining to explore the complex counterpart of the Chern-Simon-Witten theory. We define the complex analogue of the Gauss linking number for complex curves embedded in a Calabi-Yau threefold using the formal path integral that leads to a rigorous mathematical expression. We give an analytic and geometric interpretation of our holomorphic linking following the parallel with ...
متن کاملTangencies between holomorphic maps and holomorphic laminations
We prove that the set of leaves of a holomorphic lamination of codimension one that are tangent to a germ of a holomorphic map is discrete. Let F be a holomorphic lamination of codimension one in an open set V in a complex Banach space B. In this paper, this means that V = W × C, where W is a neighborhood of the origin in some Banach space, and the leaves Lλ of the lamination are disjoint graph...
متن کاملProjective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds
We introduce the notion of the projective linking number LinkP(Γ, Z) of a compact oriented real submanifold Γ of dimension 2p − 1 in complex projective n-space P with an algebraic subvariety Z ⊂ P − Γ of codimension p. This notion is related to projective winding numbers and quasi-plurisubharmonic functions, and it is generalized to any projective manifold X . It is shown that a basic conjectur...
متن کاملHulls and Husks
Let X be a normal scheme and F a coherent sheaf on X . The reflexive hull or double dual of F is the sheaf F ∗∗ := HomX(HomX(F,OX),OX). The natural map F → F ∗∗ kills the torsion subsheaf of F and the support of coker[F → F ] has codimension ≥ 2. This establishes a functor from the category of coherent sheaves on X to the category of reflexive coherent sheaves on X . The same construction works...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1993
ISSN: 0022-040X
DOI: 10.4310/jdg/1214454098