Smooth complex projective rational surfaces with infinitely many real forms

DOI10.1515/crelle-2022-0087zbMath1504.14077arXiv2106.05687OpenAlexW4311477491MaRDI QIDQ2112366

Xun Yu, Tien-Cuong Dinh, Keiji Oguiso

Publication date: 10 January 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.05687

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Birational automorphisms, Cremona group and generalizations (14E07) Real algebraic sets (14P05) (K3) surfaces and Enriques surfaces (14J28) Topology of real algebraic varieties (14P25) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items

Real forms on rational surfaces ⋮ Projective varieties have countably many real forms ⋮ Complex geometry and dynamical systems. Abstracts from the workshop held September 4--10, 2022

Cites Work

• Real structures on rational surfaces and automorphisms acting trivially on Picard groups
• Finiteness and quasi-simplicity for symmetric \(K3\)-surfaces
• Finiteness results for algebraic K3 surfaces
• On Jacobian fibrations on the Kummer surfaces of the product of non-isogenous elliptic curves
• Finite groups of automorphisms of K3 surfaces and the Mathieu group
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• Real Enriques surfaces
• A projective variety with discrete, non-finitely generated automorphism group
• Tri-Coble surfaces and their automorphisms
• Smooth rational affine varieties with infinitely many real forms
• Smooth rational projective varieties with non-finitely generated discrete automorphism group and infinitely many real forms
• A surface in odd characteristic with discrete and non-finitely generated automorphism group
• Finiteness of Klein actions and real structures on compact hyperkähler manifolds
• Théoremes de finitude en cohomologie galoisienne
• Topology, moduli and automorphisms of real algebraic surfaces
• A surface with discrete and nonfinitely generated automorphism group
• Real rational surfaces are quasi-simple
• Unnamed Item
• Unnamed Item
• Unnamed Item