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While the previous chapters deal with singularities of complex analytic spaces, resp. germs, and mappings between them, in this chapter we give an overview of some aspects of singularities of algebraic varieties and formal power series defined over a field of arbitrary characteristic. Much of the material treated here has an analog in the previous chapters over the complex numbers, but the results are often significantly different and, in any case, require a different proof.

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Singularities in Arbitrary Characteristics

  • 章节

  • 发表日期：

    2025年

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  • Gert-Martin Greuel,
  • Christoph Lossen,
  • Eugenii I. Shustin

摘要

While the previous chapters deal with singularities of complex analytic spaces, resp. germs, and mappings between them, in this chapter we give an overview of some aspects of singularities of algebraic varieties and formal power series defined over a field of arbitrary characteristic. Much of the material treated here has an analog in the previous chapters over the complex numbers, but the results are often significantly different and, in any case, require a different proof.