A fibered polynomial hull without an analytic selection.
نویسندگان
چکیده
منابع مشابه
Analytic Disks and the Projective Hull
Let X be a complex manifold and γ a simple closed curve inX . We address the question: What conditions on γ insure the existence of a 1-dimension complex variety Σ with boundary γ in X . When X = C, an answer to this question involves the polynomial hull of gamma. When X = P, complex projective space, the projective hull γ̂ of γ, a generalization of polynomial hull, comes into play. One always h...
متن کاملAnalytic and Polynomial Materials
The theory of inhomogeneous analytic and polynomial materials is developed. These are media where the coefficients entering the equations involve analytic functions or polynomials. Three types of analytic or polynomial materials are identified. The first two types involve an integer p. If p takes its maximum value then we have a complete analytic or polynomial material. Otherwise it is incomple...
متن کاملThe Pluripolar Hull of a Graph and Fine Analytic Continuation
We show that if the graph of a bounded analytic function in the unit disk D is not complete pluripolar in C then the projection of the closure of its pluripolar hull contains a fine neighborhood of a point p ∈ ∂D. On the other hand we show that if an analytic function f in D extends to a function F which is defined on a fine neighborhood of a point p ∈ ∂D and is finely analytic at p then the pl...
متن کاملThe Analytic Polynomial Time Hierarchy
Motivated by results on interactive proof systems we investigate an 9-8-hierarchy over P using word quantifiers as well as two types of set quantifiers. This hierarchy, which extends the (arithmetic) polynomial-time hierarchy, is called the analytic polynomial-time hierarchy. It is shown that every class of this hierarchy coincides with one of the following classes: pk, pk (k 0), PSPACE, exp k ...
متن کاملSufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha
In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to this class.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1994
ISSN: 0026-2285
DOI: 10.1307/mmj/1029004995