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2018-02-18  04:47 hrs.

Valuations, di erential equations and arcs

J.M. Aroca
Universidad de Valladolid


Roughly speaking, valuations and derivations are measures of contact, derivations are algebraic differential equations and after Kaplansty’s theorem valuations may be considered as generalized arcs. Then there are two problems:

  • Relation between valuation and derivation corresponding to "generalized arc solution of a differential equation"
  • Structure of the space of arcs solution of a differential equation.
In our talk we will explain the history and the actuality of both problems




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