A note on meromorphic convexity
β Scribed by Viorel Vajaitu
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 89 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
We give examples of Stein domains D in C 2 such that C 2 \ D is either completely pluripolar or union of germs of (principal) hypersurfaces not intersecting D such that D fails to be meromorphically convex in C 2 .
π SIMILAR VOLUMES
A convex function \(f\) given on \([-1,1]\) can be approximated in \(L_{r}, 1<p<x\). by convex polynomials \(P_{n}\) of degree at most \(n\) with the accuracy \(o\left(n^{-2 i p}\right)\). This follows from the estimate \(\left\|f-P_{n}\right\|_{p} \leqslant c \cdot n^{-2 / p} \cdot \omega_{2}^{\var
DEDICATED TO VIRGINIA RAGSDALE Ε½ Viro's construction of real smooth hypersurfaces uses regular also called convex . or coherent subdivisions of Newton polytopes. Nevertheless, Viro's construction, sometimes called patchworking, can be applied as well to arbitrary subdivisions as a purely combinatori