Rational Surfaces with Infinite Automorphism Group and No Antipluricanonical Curve

DOI10.2307/2046337zbMath0643.14019OpenAlexW4251141079MaRDI QIDQ3784179

Brian Harbourne

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046337

zbMATH Keywords

automorphism groupPicard groupsmooth rational surfaceantipluricanonical curve

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Rational and unirational varieties (14M20) Picard groups (14C22) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items

Real structures on rational surfaces and automorphisms acting trivially on Picard groups ⋮ Rational surfaces with a large group of automorphisms ⋮ Rational surface automorphisms with positive entropy ⋮ A characterization of compact complex tori via automorphism groups ⋮ Centralizers of elements of infinite order in plane Cremona groups ⋮ An automorphism group of a rational surface: not too big not too small ⋮ A note on the birational cancellation problem ⋮ Dynamics on blowups of the projective plane ⋮ Infinitesimal deformations of rational surface automorphisms ⋮ Dynamics of rational surface automorphisms: linear fractional recurrences ⋮ Algebraic subgroups of the Cremona group ⋮ On birational transformations of pairs in the complex plane ⋮ Some automorphism groups are linear algebraic ⋮ Length in the Cremona group ⋮ Reflection groups in algebraic geometry

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