On a theory of the \(b\)-function in positive characteristic

DOI10.1007/s00029-017-0383-xzbMath1423.13048arXiv1501.00185OpenAlexW2247508598MaRDI QIDQ1783982

Thomas Bitoun

Publication date: 21 September 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00185

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (5)

Bernstein-Sato Polynomials in Commutative Algebra ⋮ Bernstein-Sato theory for singular rings in positive characteristic ⋮ The associated graded module of the test module filtration ⋮ BERNSTEIN–SATO ROOTS FOR MONOMIAL IDEALS IN POSITIVE CHARACTERISTIC ⋮ Bernstein-Sato theory for arbitrary ideals in positive characteristic

Cites Work

• Discreteness and rationality of \(F\)-thresholds
• B-functions and holonomic systems. Rationality of roots of B-functions
• The global homological dimension of the ring of differential operators on a nonsingular variety over a field of positive characteristic
• Jumping coefficients of multiplier ideals
• Bernstein-Sato polynomials in positive characteristic
• \(p\)-adic analytic groups
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• $F$-thresholds of hypersurfaces
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• A generalization of tight closure and multiplier ideals
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
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