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math.ACMay 7, 2012
26
citations (OpenAlex)
authors
  • Somayeh Bandari
  • Jürgen Herzog
  • Takayuki Hibi
institutions
  • The University of Osaka
  • University of Duisburg-Essen
arXiv abstractPDF
paper

Monomial ideals whose depth function has any given number of strict local maxima

arXiv:1205.1348 · doi:10.1007/s11512-013-0184-1

Abstract

We construct monomial ideals with the property that their depth function has any given number of strict local maxima.

References in corpus (1)

  • Discrete Polymatroids

Cited by in corpus (10)

  • Depth and regularity of powers of sums of ideals
  • Replication in critical graphs and the persistence of monomial ideals
  • Depth functions of powers of homogeneous ideals
  • Persistence and stability properties of powers of ideals
  • Squarefree monomial ideals with constant depth function
  • Predicted decay ideal
  • Fluctuations in depth and associated primes of powers of ideals
  • A Lower Bound For Depths of Powers of Edge Ideals
  • Squarefree monomial ideals that fail the persistence property and non-increasing depth
  • Depth of powers of squarefree monomial ideals
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