G-birational superrigidity of Del Pezzo surfaces of degree 2 and 3

Any minimal Del Pezzo G -surface S of degree smaller than 3 is G -birationally rigid. We classify those which are G -birationally superrigid, and for those which fail to be so, we describe the equations of a set of generators for the infinite group Bir G ( S ) of G -birational automorphisms.

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Veröffentlicht in:	European journal of mathematics 2019-09, Vol.5 (3), p.798-827
Hauptverfasser:	das Dores, Lucas, Mauri, Mirko
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Sprache:	eng
Schlagworte:	Algebraic Geometry Automorphisms Mathematics Mathematics and Statistics Research Article
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description	Any minimal Del Pezzo G -surface S of degree smaller than 3 is G -birationally rigid. We classify those which are G -birationally superrigid, and for those which fail to be so, we describe the equations of a set of generators for the infinite group Bir G ( S ) of G -birational automorphisms.
doi_str_mv	10.1007/s40879-018-0298-x
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title	G-birational superrigidity of Del Pezzo surfaces of degree 2 and 3
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