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1. • CommentRowNumber1.
   • CommentAuthorzskoda
   • CommentTimeAug 28th 2014
   • (edited Aug 28th 2014)
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   Author: zskoda
   Format: MarkdownItexSome time ago I started a stub [[characteristic variety]] to record few references, mainly in [[D-module]] context. Regarding that the related notion of a characteristic ideal also appears in the treatment of [[Iwasawa polynomial]] and [[Alexander polynomial]] which Urs wants to understand from the point of view of connections and differential refinements of cohomology, maybe we should do some effort to make some pages which will connect various notions of [[characteristic ideal]]s and their loci across various subjects. I just recorded * Andrea Bandini, Francesc Bars, Ignazio Longhi, _Characteristic ideals and Iwasawa theory_, [arxiv/1310.0680](http://arxiv.org/abs/1310.0680); _Characteristic ideals and Selmer groups_, [arxiv/1404.2788](http://arxiv.org/abs/1404.2788) at [[characteristic ideal]] for the version in the context of [[Iwasawa theory]].

   Some time ago I started a stub characteristic variety to record few references, mainly in D-module context. Regarding that the related notion of a characteristic ideal also appears in the treatment of Iwasawa polynomial and Alexander polynomial which Urs wants to understand from the point of view of connections and differential refinements of cohomology, maybe we should do some effort to make some pages which will connect various notions of characteristic ideals and their loci across various subjects. I just recorded

   • Andrea Bandini, Francesc Bars, Ignazio Longhi, Characteristic ideals and Iwasawa theory, arxiv/1310.0680; Characteristic ideals and Selmer groups, arxiv/1404.2788

   at characteristic ideal for the version in the context of Iwasawa theory.

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeAug 28th 2014
   • (edited Aug 28th 2014)
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   Author: zskoda
   Format: MarkdownItexOf course, I am not quite sure about the connection with the PDE notion. Cauchy had introduced the concept of characteristics to partial differential equations. Maybe we could read through sec. 3.6 in the Michael Bachtold's thesis, _Fold-type Solution Singularities and Characteristic Varieties of Nonlinear PDEs_, [pdf](http://user.math.uzh.ch/cattaneo/baechtold.pdf) or he could help us as a member of $n$Forum.

   Of course, I am not quite sure about the connection with the PDE notion. Cauchy had introduced the concept of characteristics to partial differential equations. Maybe we could read through sec. 3.6 in the Michael Bachtold’s thesis, Fold-type Solution Singularities and Characteristic Varieties of Nonlinear PDEs, pdf or he could help us as a member of $n$Forum.

3. • CommentRowNumber3.
   • CommentAuthorMichael_Bachtold
   • CommentTimeAug 31st 2014
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   Author: Michael_Bachtold
   Format: MarkdownItexUnfortunately I don't know anything about Iwasawa theory. From a glimpse at the first paragraph of the articles you linked I don't see a relation to the characteristic variety in D-modules and PDEs.

   Unfortunately I don’t know anything about Iwasawa theory. From a glimpse at the first paragraph of the articles you linked I don’t see a relation to the characteristic variety in D-modules and PDEs.