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The goal of the following chapter is to show that a flat family of complex subspaces of dimension n in a given complex space M, parameterized by a complex space S, determines an analytic family of n-cycles in M parameterized by the reduced complex space \(S_{\mathrm {red}}\) underlying S.

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Douady \(-->\) Cycles

  • 章节

  • 发表日期：

    2025年

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  • Daniel Barlet,
  • Jón Magnússon

摘要

The goal of the following chapter is to show that a flat family of complex subspaces of dimension n in a given complex space M, parameterized by a complex space S, determines an analytic family of n-cycles in M parameterized by the reduced complex space \(S_{\mathrm {red}}\) underlying S.