FFRT Properties of hypersurfaces and their F-signature

This paper studies properties of certain hypersurfaces in prime characteristic: we give a sufficient and necessary conditions for some classes of such hypersurfaces to have Finite \(F\)-representation Type (FFRT) and we compute the \(F\)-signatures of these hypersurfaces. The main method used in thi...

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Bibliographic Details
Published in:arXiv.org 2018-11
Main Authors: Alhazmy, Khaled, Katzman, Mordechai
Format: Article
Language:English
Subjects:
Hyperspaces
Online Access:Get full text
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Summary:This paper studies properties of certain hypersurfaces in prime characteristic: we give a sufficient and necessary conditions for some classes of such hypersurfaces to have Finite \(F\)-representation Type (FFRT) and we compute the \(F\)-signatures of these hypersurfaces. The main method used in this paper is based on finding explicit matrix factorizations.
ISSN:2331-8422