Automating the calculation of the Hilbert–Kunz multiplicity and F-signature

Automating the calculation of the Hilbert–Kunz multiplicity and F-signature

The Hilbert–Kunz multiplicity and F-signature are important invariants for researchers in commutative algebra and algebraic geometry. We provide software, and describe the automation, for the calculations of the two invariants in the case of intersection algebras over polynomial rings. MSC: 68-04, 1...

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Main Authors: Gabriel Johnson, Sandra Spiroff
Format: Article
Language:English
Published: Elsevier 2019-01-01
Series:SoftwareX
Online Access:http://www.sciencedirect.com/science/article/pii/S2352711018301833
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spelling doaj-da27da45c273459680365b431fe6ab7e2020-11-24T22:06:22ZengElsevierSoftwareX2352-71102019-01-0193538Automating the calculation of the Hilbert–Kunz multiplicity and F-signatureGabriel Johnson0Sandra Spiroff1Department of Computer Science, University of Mississippi, Oxford, MS 38677, United StatesDepartment of Mathematics, University of Mississippi, Oxford, MS 38677, United States; Corresponding author.The Hilbert–Kunz multiplicity and F-signature are important invariants for researchers in commutative algebra and algebraic geometry. We provide software, and describe the automation, for the calculations of the two invariants in the case of intersection algebras over polynomial rings. MSC: 68-04, 13-04, 15A39, Keywords: Hilbert–Kunz multiplicity, F-signature, Intersection algebrashttp://www.sciencedirect.com/science/article/pii/S2352711018301833
collection DOAJ
language English
format Article
sources DOAJ
author Gabriel Johnson
Sandra Spiroff
spellingShingle Gabriel Johnson
Sandra Spiroff
Automating the calculation of the Hilbert–Kunz multiplicity and F-signature
SoftwareX
author_facet Gabriel Johnson
Sandra Spiroff
author_sort Gabriel Johnson
title Automating the calculation of the Hilbert–Kunz multiplicity and F-signature
title_short Automating the calculation of the Hilbert–Kunz multiplicity and F-signature
title_full Automating the calculation of the Hilbert–Kunz multiplicity and F-signature
title_fullStr Automating the calculation of the Hilbert–Kunz multiplicity and F-signature
title_full_unstemmed Automating the calculation of the Hilbert–Kunz multiplicity and F-signature
title_sort automating the calculation of the hilbert–kunz multiplicity and f-signature
publisher Elsevier
series SoftwareX
issn 2352-7110
publishDate 2019-01-01
description The Hilbert–Kunz multiplicity and F-signature are important invariants for researchers in commutative algebra and algebraic geometry. We provide software, and describe the automation, for the calculations of the two invariants in the case of intersection algebras over polynomial rings. MSC: 68-04, 13-04, 15A39, Keywords: Hilbert–Kunz multiplicity, F-signature, Intersection algebras
url http://www.sciencedirect.com/science/article/pii/S2352711018301833
work_keys_str_mv AT gabrieljohnson automatingthecalculationofthehilbertkunzmultiplicityandfsignature
AT sandraspiroff automatingthecalculationofthehilbertkunzmultiplicityandfsignature
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