Automorphism groups on normal singular cubic surfaces with no parameters

Automorphism Groups on Normal Singular Cubic Surfaces with No Parameters

The classification of normal singular cubic surfaces in P3 over a complex number field C was given by J. W. Bruce and C. T. C. Wall. In this paper, first we prove their results by a different way, second we provide normal forms of normal singular cubic surfaces according to the type of singularities, and finally we determine automorphism groups on normal singular cubic surfaces with no parameters.

On Singular Cubic Surfaces

We study global log canonical thresholds of cubic surfaces with canonical singularities, and we prove the existence of a Kähler–Einstein metric on two singular cubic surfaces.

Domains in complex surfaces with non - compact automorphism groups ✩

Let X be an arbitrary complex surface and D a domain in X that has a non-compact group of holomorphic automorphisms. A characterization of those domains D that admit a smooth, weakly pseudoconvex, finite type boundary orbit accumulation point is obtained. © 2007 Elsevier Inc. All rights reserved.

Automorphism Groups of Normal Cr 3-manifolds

We classify the normal CR structures on S and their automorphism groups. Together with [2], this closes the classification of normal CR structures on contact 3-manifolds. We give a criterion to compare 2 normal CR structures, and we show that the underlying contact structure is, up to diffeomorphism, unique.

Automorphism Groups of Normal Cr 3 - Manifoldsflorin