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Zero loci of Bernstein-Sato ideals-II

Abstract

We have recently proved a precise relation between Bernstein-Sato ideals of collections of polynomials and monodromy of generalized nearby cycles. In this article we extend this result to other ideals of Bernstein-Sato type.

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Acknowledgements

The first author was partly supported by the grants STRT/13/005 and Methusalem METH/15/026 from KU Leuven, G097819N and G0F4216N from the Research Foundation—Flanders. The second author is supported by a PhD Fellowship of the Research Foundation—Flanders. The fourth author is supported by the Simons Postdoctoral Fellowship as part of the Simons Collaboration on HMS.

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Correspondence to Nero Budur.

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Budur, N., Veer, R.v.d., Wu, L. et al. Zero loci of Bernstein-Sato ideals-II. Sel. Math. New Ser. 27, 32 (2021). https://doi.org/10.1007/s00029-021-00652-3

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Keywords

  • Bernstein-Sato ideal
  • b-function
  • Monodromy
  • Local system
  • \({\mathscr {D}}\)-module

Mathematics Subject Classification

  • 14F10
  • 13N10
  • 32C38
  • 32S40
  • 32S55