J an 2 00 8 Deformation data , Belyi maps , and the local lifting problem

We prove existence and nonexistence results for certain differential forms in positive characteristic, called good deformation data. Some of these results are obtained by reduction modulo p of Belyi maps. As an application, we solve the local lifting problem for groups with Sylow psubgroup of order p. 2000 Mathematics Subject Classification. Primary 11G20… CONTINUE READING