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

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
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Automorphisms
Mathematics
Mathematics and Statistics
Research Article
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Zusammenfassung: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.
ISSN:2199-675X
2199-6768
DOI:10.1007/s40879-018-0298-x