Intrinsic complexification of real-analytic varieties

Bernhard Lamel; Jiří Lebl

doi:10.1007/s40627-025-00169-x

Intrinsic complexification of real-analytic varieties

Bernhard Lamel
, Jiří Lebl

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

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.

Original language	English
Article number	20
Journal	Complex Analysis and its Synergies
Volume	11
Issue number	4
DOIs	https://doi.org/10.1007/s40627-025-00169-x
Publication status	Published - Dec 2025

Austrian Fields of Science 2012

101002 Analysis

Keywords

CR geometry
Intrinsic complexification
Segre variety

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10.1007/s40627-025-00169-x

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title = "Intrinsic complexification of real-analytic varieties",

abstract = "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.",

keywords = "CR geometry, Intrinsic complexification, Segre variety",

author = "Bernhard Lamel and Ji{\v r}{\'i} Lebl",

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doi = "10.1007/s40627-025-00169-x",

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AU - Lebl, Jiří

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AB - 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.

KW - CR geometry

KW - Intrinsic complexification

KW - Segre variety

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DO - 10.1007/s40627-025-00169-x

M3 - Article

AN - SCOPUS:105017490668

SN - 2524-7581

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JO - Complex Analysis and its Synergies

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M1 - 20

ER -

Intrinsic complexification of real-analytic varieties

Abstract

Austrian Fields of Science 2012

Keywords

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