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. 835–857DOI 10.4171/PRIMS/55-4-7