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A refinement of Hironaka's additive group schemes for an extended invariant

Dietel, Bernhard (2015) A refinement of Hironaka's additive group schemes for an extended invariant. PhD, Universität Regensburg.

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Date of publication of this fulltext: 26 Feb 2015 14:29

Abstract (English)

Hironaka introduced certain additive group schemes to obtain information about the locus of near points under a permissible blow up in resolution of singularities in positive characteristic. The aim of this thesis is to introduce new additive group schemes, adapted to the locus of very near points, and to show that they have properties comparable to Hironaka's group schemes.

Translation of the abstract (German)

Hironaka führte gewisse additive Gruppenschemata ein um Informationen über den Ort der nahen Punkte unter einer zulässigen Aufblasung zu erhalten im Bereich der Auflösung von Singularitäten in positiver Characteristik. Das Ziel dieser Arbeit ist es neue additive Gruppenschemata einzuführen, angepasst an den Ort der sehr nahen Punkte, und zu zeigen, dass diese vergleichbare Eigenschaften haben.


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Item type:Thesis of the University of Regensburg (PhD)
Date:26 February 2015
Referee:Prof. Dr. Uwe Jannsen
Date of exam:26 January 2015
Institutions:Mathematics > Prof. Dr. Uwe Jannsen
Keywords:resolution of singularities, hironaka, group scheme, ridge
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:31359
Owner only: item control page

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