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

Gabriel Johnson | Zendy; Sandra Spiroff | Zendy

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

Author(s) -

Gabriel Johnson,

Sandra Spiroff

Publication year - 2018

Publication title -

softwarex

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.528

H-Index - 21

ISSN - 2352-7110

DOI - 10.1016/j.softx.2018.12.002

Subject(s) - invertible matrix , multiplicity (mathematics) , scroll , intersection (aeronautics) , mathematics , software , pseudodifferential operators , commutative property , algebra over a field , computer science , pure mathematics , discrete mathematics , geometry , programming language , engineering , mechanical engineering , aerospace engineering

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.

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