Characterizing the increase of the residual order under blowup in positive characteristic

Herwig Hauser; Stefan Perlega

doi:10.4171/PRIMS/55-4-7  Published online: 2019-10-21

Characterizing the increase of the residual order under blowup in positive characteristic

Herwig Hauser, Stefan Perlega

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

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.

Original language	English
Pages (from-to)	835–857
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	55
Issue number	4
DOIs	https://doi.org/10.4171/PRIMS/55-4-7 Published online: 2019-10-21
Publication status	Published - 2019

Austrian Fields of Science 2012

101001 Algebra
101009 Geometry

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10.4171/PRIMS/55-4-7 Published online: 2019-10-21

Cite this

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title = "Characterizing the increase of the residual order under blowup in positive characteristic",

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.",

author = "Herwig Hauser and Stefan Perlega",

year = "2019",

doi = "10.4171/PRIMS/55-4-7 Published online: 2019-10-21",

language = "English",

volume = "55",

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journal = "Publications of the Research Institute for Mathematical Sciences",

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T1 - Characterizing the increase of the residual order under blowup in positive characteristic

AU - Hauser, Herwig

AU - Perlega, Stefan

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

U2 - 10.4171/PRIMS/55-4-7 Published online: 2019-10-21

DO - 10.4171/PRIMS/55-4-7 Published online: 2019-10-21

M3 - Article

VL - 55

SP - 835

EP - 857

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

SN - 0454-7845

IS - 4

ER -