New classes of parameterized differential Galois groups |
| |
Authors: | Bachmayr Annette |
| |
Institution: | 1.Mathematisches Institut der Universit?t Bonn, Endenicher Allee 60, 53115, Bonn, Germany ; |
| |
Abstract: | This paper is on the inverse parameterized differential Galois problem. We show that surprisingly many groups do not occur as parameterized differential Galois groups over K(x) even when K is algebraically closed. We then combine the method of patching over fields with a suitable version of Galois descent to prove that certain groups do occur as parameterized differential Galois groups over k((t))(x). This class includes linear differential algebraic groups that are generated by finitely many unipotent elements and also semisimple connected linear algebraic groups. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|