Beweis eines Satzes von Bertini über lineare Systeme ganzer Functionen
Beweis eines Satzes von Bertini über lineare Systeme ganzer Functionen. II.
Bounds on the number of non-rational subfields of a function field.
Branching data for algebraic functions and representability by radicals
The branching data of an algebraic function is a list of orders of local monodromies around branching points. We present branching data that ensure that the algebraic functions having them are representable by radicals. This paper is a review of recent work by the authors and of closely related classical work by Ritt.