Stratified order one differential equations in positive characteristic

Marius van der Put; Jaap Top

doi:10.1016/j.jsc.2014.09.037

Stratified order one differential equations in positive characteristic

Marius van der Put
, Jaap Top

Algebra

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182 Downloads (Pure)

Abstract

Stratification for nonlinear differential equations in positive characteristic is introduced. Testing this notion for first order equations is discussed, and related to the Cartier operator on curves. A variant of the Grothendieck–Katz conjecture is formulated, and proved in a special case.

Original language	English
Pages (from-to)	308-315
Number of pages	8
Journal	Journal of symbolic computation
Volume	68
Issue number	part 2
DOIs	https://doi.org/10.1016/j.jsc.2014.09.037
Publication status	Published - 2015

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title = "Stratified order one differential equations in positive characteristic",

abstract = "Stratification for nonlinear differential equations in positive characteristic is introduced. Testing this notion for first order equations is discussed, and related to the Cartier operator on curves. A variant of the Grothendieck–Katz conjecture is formulated, and proved in a special case. ",

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year = "2015",

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pages = "308--315",

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issn = "0747-7171",

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AU - van der Put, Marius

AU - Top, Jaap

PY - 2015

Y1 - 2015

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AB - Stratification for nonlinear differential equations in positive characteristic is introduced. Testing this notion for first order equations is discussed, and related to the Cartier operator on curves. A variant of the Grothendieck–Katz conjecture is formulated, and proved in a special case.

U2 - 10.1016/j.jsc.2014.09.037

DO - 10.1016/j.jsc.2014.09.037

M3 - Article

SN - 0747-7171

VL - 68

SP - 308

EP - 315

JO - Journal of symbolic computation

JF - Journal of symbolic computation

IS - part 2

ER -

Stratified order one differential equations in positive characteristic

Abstract

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