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We establish a version of a semistable reduction theorem over a log point with a non-trivial nilpotent structure. In order to do this we extend the classical desingularization theories to non-reduced schemes with generically principal nilradical.

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Semistable Reduction Over Thick Log Points

  • 会议论文

  • 发表日期：

    2025年

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  • Alexander E. Motzkin,
  • Michael Temkin

摘要

We establish a version of a semistable reduction theorem over a log point with a non-trivial nilpotent structure. In order to do this we extend the classical desingularization theories to non-reduced schemes with generically principal nilradical.