Author:
Prokhorov Yuri G.,Shramov Constantin A.
Abstract
Abstract
We show that the Cremona group of rank $$2$$ over a finite field is Jordan, and provide an upper bound for its Jordan constant which is sharp when the number of elements in the field is different from $$2$$, $$4$$, and $$8$$.
Subject
Mathematics (miscellaneous)
Reference25 articles.
1. Universitext;L. Bădescu,2001
2. R. Brauer and W. Feit, “An analogue of Jordan’s theorem in characteristic $$p$$,” Ann. Math., Ser. 2, 84, 119–131 (1966).
3. S. Cantat, “Birational permutations,” C. R., Math., Acad. Sci. Paris 347 (21–22), 1289–1294 (2009).
4. Y. Chen and C. Shramov, “Automorphisms of surfaces over fields of positive characteristic,” arXiv: 2106.15906 [math.AG].
5. I. V. Dolgachev, Classical Algebraic Geometry: A Modern View (Cambridge Univ. Press, Cambridge, 2012).
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