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The asymptotic Samuel function of a filtration

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Publication:6563078
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DOI10.1007/s40306-024-00523-xzbMath1547.13011MaRDI QIDQ6563078

Smita Praharaj, Steven Dale Cutkosky

Publication date: 27 June 2024

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)




zbMATH Keywords

filtrationasymptotic Samuel function


Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)





Cites Work

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  • Asymptotic multiplicities of graded families of ideals and linear series
  • Asymptotic prime divisors
  • Valuations and asymptotic invariants for sequences of ideals
  • The Minkowski equality of filtrations
  • Filtrations and test-configurations
  • Some asymptotic properties of powers of ideals
  • Valuations Associated with Ideals (II)
  • Valuations Associated with a Local Ring (II)
  • Note on a paper of Samuel concerning asymptotic properties of ideals
  • Analytic spread of filtrations and symbolic algebras
  • Convexity of multiplicities of filtrations on local rings




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