Vortrag im Schwerpunkt Reelle Geometrie und Algebra
Freitag, 13. November 2009, um 14:15 Uhr in F426 (Oberseminar) Mickael Matusinski (Konstanz) A differential Puiseux theorem in generalised series fields of finite rank
Let r in N^* and K_r be a field of generalised power series with finite rank r endowed with a Hardy type derivation. We study differential equations F(y,...,y^(n)) = 0 where F(y,...,y^(n)) is a formal series in y,...,y^(n) with coefficients in K_r. Our purpose is to understand the connection between the set of exponents of the coefficients of the equation Supp F and the set Supp y_0 of exponents of the elements y_0 in K_r that are solutions.
