Mumford curves and Mumford groups in positive characteristicVoskuil, H. H. & van der Put, M., 1-Jan-2019, In : Journal of algebra. 517, p. 119-166 48 p.
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A Mumford group is a discontinuous subgroup Gamma of PGL(2) (K), where K denotes a non archimedean valued field, such that the quotient by Gamma is a curve of genus 0. As abstract group Gamma is an amalgam of a finite tree of finite groups. For K of positive characteristic the large collection of amalgams having two or three branch points is classified. Using these data Mumford curves with a large group of automorphisms are discovered. A long combinatorial proof, involving the classification of the finite simple groups, is needed for establishing an upper bound for the order of the group of automorphisms of a Mumford curve. Orbifolds in the category of rigid spaces are introduced. For the projective line the relations with Mumford groups and singular stratified bundles are studied. This paper is a sequel to . Part of it clarifies, corrects and extends work of G. Cornelissen, F. Kato and K. Kontogeorgis. (C) 2018 Elsevier Inc. All rights reserved.
|Number of pages||48|
|Journal||Journal of algebra|
|Publication status||Published - 1-Jan-2019|
- Rigid geometry, Discontinuous groups, Mumford curves, Mumford groups, Amalgams, Orbifolds, Stratified bundles, MAXIMAL AUTOMORPHISM GROUP, STRATIFIED BUNDLES, PGL(2)(K), SUBGROUPS