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

Institut für Mathematik

Veröffentlichungen: Beitrag in Fachzeitschrift › Artikel › 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.

Originalsprache	Englisch
Seiten (von - bis)	835–857
Fachzeitschrift	Publications of the Research Institute for Mathematical Sciences
Jahrgang	55
Ausgabenummer	4
DOIs	https://doi.org/10.4171/PRIMS/55-4-7 Published online: 2019-10-21
Publikationsstatus	Veröffentlicht - 2019

ÖFOS 2012

101001 Algebra
101009 Geometrie

Zugriff auf Dokument

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

Zitationsweisen

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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.",

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AU - Perlega, Stefan

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

M3 - Article

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VL - 55

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JO - Publications of the Research Institute for Mathematical Sciences

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