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<p>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.</p>

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Intrinsic complexification of real-analytic varieties

  • 期刊论文

  • 发表日期：

    2025年9月25日

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  • Bernhard Lamel,
  • Jiří Lebl

摘要

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.