On the Stability of Multigraded Betti Numbers and Hilbert Functions

DOI10.1137/22m1489150arXiv2112.11901OpenAlexW4391141186MaRDI QIDQ6202886

Steve Y. Oudot, Luis Nerio Scoccola

Publication date: 27 February 2024

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11901

zbMATH Keywords

free resolutionstopological data analysispersistent homologystability theoremsmultigraded Betti numbersmultiparameter persistence

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Topological data analysis (62R40)

Cites Work

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