On automorphisms of nodal Enriques surfaces

DOI10.1090/S0273-0979-1985-15364-9zbMath0569.14016OpenAlexW2084867486MaRDI QIDQ3686810

François R. Cossec, Igor V. Dolgachev

Publication date: 1985

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1985-15364-9

zbMATH Keywords

automorphism groupDynkin diagramReye congruencesnonsingular rational curves on a generic nodal Enriques surface

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Singularities of surfaces or higher-dimensional varieties (14J17) Special surfaces (14J25)

Related Items

ORBIT PARAMETRIZATIONS FOR K3 SURFACES, Orders of automorphisms of \(K3\) surfaces, Non-symplectic automorphisms of \(K3\) surfaces with one-dimensional moduli space, Symétries des surfaces rationelles génériques. (Symmetries of generic rational surfaces), The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces, On the singularities and on the projective normality of some Enriques-Fano threefolds, Enriques surfaces and Jacobian elliptic \(K3\) surfaces, Arithmetic moduli and lifting of Enriques surfaces, Frobenius splitting for some abelian fiber spaces, Automorphisms of smooth canonically polarized surfaces in positive characteristic, The moduli of singular curves on \(K3\) surfaces, On \(K3\) double planes covering Enriques surfaces, Cremona special sets of points in products of projective spaces, Reflection groups in algebraic geometry, Automorphism groups of certain Enriques surfaces, Surfaces of bidegree \((3,n)\) in \(\text{Gr}(1,\mathbb{P}^ 3)\)

Cites Work

• On the Picard group of Enriques surfaces
• Smooth rational curves on Enriques surfaces
• Automorphisms of Enriques surfaces
• Quotients of infinite reflection groups