Stratified order one differential equations in positive characteristic

DOI10.1016/j.jsc.2014.09.037zbMath1312.34134OpenAlexW2107576024MaRDI QIDQ480697

Jaap Top, Marius van der Put

Publication date: 9 December 2014

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2014.09.037

zbMATH Keywords

stratificationpositive characteristicalgebraic curvesfirst order differential equationGrothendieck-Katz conjecture

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Coverings in algebraic geometry (14E20) Ramification problems in algebraic geometry (14E22) Abstract differential equations (12H20) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (1)

The level of pairs of polynomials

Cites Work

• Picard-Vessiot extensions of Artinian simple module algebras.
• Equivalence of differential equations of order one
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Iterative differential equations and the Abhyankar conjecture
• A conjecture in the arithmetic theory of differential equations
• Grothendieck's conjecture for the Risch equation \(y'=ay+b\)
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