A class of counter-examples to the hypersection problem based on forcing equations

Details A class of counter-examples to the hypersection problem based on forcing equations A class of counter-examples to the hypersection problem based on forcing equations

2002-09-23

arxiv.org/abs/math/0209304v1

Arch. Math. 82, 6 (2004), 564 - 569.

Mathematics

Complex Variables

5 pages, to appear in Archiv der Mathematik

Scientific paper

We give a class of three-dimensional Stein spaces W together with a
hypersurface H, such that the complement W-H is not Stein, but such that for
every analytic surface S \subset W the complement S-S \cap H is Stein. This
class is constructed using forcing equations and gives new counter-examples to
the hypersection problem.

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