F-thresholds and generalised test Ideals of determinantal ideals of maximal minors

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Abstract

Abstract. We study higher jumping numbers and generalized test ideals associated to determinantal ideals over a field of positive characteristic. We work
in positive characteristic to give a complete characterization of both families for ideals generated by maximal minors; and make a conjecture for the general case. Although these invariants are understood asymptotically, as their positive characteristic grows to infinity they essentially coincide with their characteristic zero analogues, there are known examples where the behavior in positive characteristic differs significantly from that of characteristic zero. This new knowledge associated to determinantal ideals strengthens the case that test ideals and multiplier ideals exhibit essentially the same description.
Original languageEnglish
Number of pages10
JournalArXiv.org.
Volume1404
Issue number4216
Publication statusPublished - 16 Apr 2014

Keywords

  • Determinantal ideals
  • Generalized Test ideals
  • Multiplier ideals
  • F-pure thresholds
  • log canonical thresholds

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