Intrinsic complexification of real-analytic varieties

Fuente: arXiv
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Main Authors: Lamel, Bernhard, Lebl, Jiri
Format: Preprint
Published: 2024
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author Lamel, Bernhard
Lebl, Jiri
author_facet Lamel, Bernhard
Lebl, Jiri
contents We introduce a framework for Segre varieties for singular real-analytic subvarieties of a complex space and utilize it to study the intrinsic complexifications of these subvarieties. Many examples illustrate the subtle issues arising in the singular setting.
format Preprint
id arxiv_https___arxiv_org_abs_2409_13127
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Intrinsic complexification of real-analytic varieties
Lamel, Bernhard
Lebl, Jiri
Complex Variables
32V05, 32V40 (Primary), 14B05, 14P15 (Secondary)
We introduce a framework for Segre varieties for singular real-analytic subvarieties of a complex space and utilize it to study the intrinsic complexifications of these subvarieties. Many examples illustrate the subtle issues arising in the singular setting.
title Intrinsic complexification of real-analytic varieties
topic Complex Variables
32V05, 32V40 (Primary), 14B05, 14P15 (Secondary)
url https://arxiv.org/abs/2409.13127