CEU Electronic Theses and Dissertations, 2020
| Author | Guld, Attila |
|---|---|
| Title | Jordan type properties of birational and biregular automorphism groups of varieties |
| Summary | In this thesis we investigate Jordan type properties of birational and biregular automorphism groups of varieties. We prove the following two theorems. Let X be a d dimensional variety over a field of characteristic zero. If G is a finite subgroup of the birational automorphism group of X, then G has a bounded index nilpotent subgroup whose nilpotency class is at most d. We call a flag variety admissible if its biregular automorphism group is the projective general linear group. (This holds for most flag varieties.) We call a group bounded if all of its finite subgroups have bounded orders. Let X be a form of an admissible flag variety over a field of characteristic zero. Then either the biregular automorphism group of X is bounded or X is ruled. |
| Supervisor | Endre Szabó |
| Department | Mathematics PhD |
| Full text | https://www.etd.ceu.edu/2020/guld_attila.pdf |
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