Characterizing the Increase of the Residual Order under Blowup in Positive Characteristic

  • Herwig Hauser

    Universität Wien, Austria
  • Stefan Perlega

    Universität Wien, Austria
Characterizing the Increase of the Residual Order under Blowup in Positive Characteristic cover

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Abstract

In contrast to the characteristic-zero situation, the residual order of an ideal may increase in positive characteristic under permissible blowups at points of the exceptional divisor where the order of the ideal has remained constant. The specific situations where this happens are described explicitly.

Cite this article

Herwig Hauser, Stefan Perlega, Characterizing the Increase of the Residual Order under Blowup in Positive Characteristic. Publ. Res. Inst. Math. Sci. 55 (2019), no. 4, pp. 835–857

DOI 10.4171/PRIMS/55-4-7