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A characterization of Whitney a-regular complex analytic stratifications | | Saurabh Trivedi
; | | Date: |
6 Sep 2012 | | Abstract: | We give a characterization of Whitney $a$-regular complex analytic
stratifications of complex analytic subvarieties of a complex manifold $N$
which satisfies the Oka property, in terms of the topology on the set of
holomorphic maps, between Stein manifolds and $N$, which are transverse to the
stratification. Our result can be seen as a holomorphic version of Trotman’s
theorem in the real case which says that $a$-regularity is necessary and
sufficient for the openness of sets of maps transverse to a stratification. | | Source: | arXiv, 1209.1282 | | Services: | Forum | Review | PDF | Favorites | |
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