Die Kreisklassenkörper von Primzahlpotenzgrad und die Konstruktion von Körpern mit vorgegebener zweistufiger Gruppe. I.
Die Probleme der modernen Galoisschen Theorie.
Die Relationenfaktorgruppen von Stickelberger-Elementen und Kreiszahlen.
Die Struktur der absoluten Galoisgruppe über dem Körper R (t).
Die Stufe von Ordnungen ganzer Zahlen in algebraischen Zahlkörpern.
Die Übertragung der Galoisschen Aufgabe auf Gleichungssysteme in mehreren Variablen.
Die Umkehrung einer Gruppe von Systemen allgemeiner hyperelliptischer Differentialgleichungen [Book]
Die Zerlegungscharaktere abelscher total reeller Erweiterungen reeller Funktionenkörper einer Variablen.
Different aspects of differentiability [Book]
Differential algebra in a topos
Differential equations and algebraic transcendents: french efforts at the creation of a Galois theory of differential equations 1880–1910
A “Galois theory” of differential equations was first proposed by Émile Picard in 1883. Picard, then a young mathematician in the course of making his name, sought an analogue to Galois’s theory of polynomial equations for linear differential equations with rational coefficients. His main results were limited by unnecessary hypotheses, as was shown in 1892 by his student Ernest Vessiot, who both improved Picard’s results and altered his approach, leading Picard to assert that his lay closest to...
Differential equations in characteristic
Differential equations which come from geometry
Differential equations with 2-term recursion.
Differential Filtrations and Symbolic Powers of Regualr Primes.
Differential Galois approach to the non-integrability of the heavy top problem
Differential Galois realization of double covers
An effective construction of homogeneous linear differential equations of order 2 with Galois group or is presented.
Differential Galois Theory for an Exponential Extension of
In this paper we study the formal differential Galois group of linear differential equations with coefficients in an extension of by an exponential of integral. We use results of factorization of differential operators with coefficients in such a field to give explicit generators of the Galois group. We show that we have very similar results to the case of .
Differential invariants of conformal and projective surfaces.
Differential modules defined by systems of equations