Wild p-Cyclic Actions on Smooth Projective Surfaces with p=q= 0

Topological Classification of Conformal Actions on pq-Hyperelliptic Riemann Surfaces

A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if X admits a conformal involution ρ for which X/ρ is an orbifold of genus p. Here we classify conformal actions on 2-hyperelliptic Rieman surfaces of genus g > 9, up to topological conjugacy and determine which of them can be maximal.

Smooth Kummer Surfaces in Projective Three-space

In this note we prove the existence of smooth Kummer surfaces in projective three-space containing sixteen mutually disjoint smooth rational curves of any given degree. Introduction Let X be a smooth quartic surface in projective three-space P. As a consequence of Nikulin’s theorem [6] X is a Kummer surface if and only if it contains sixteen mutually disjoint smooth rational curves. The classic...

On the Projective Normality of Smooth Surfaces of Degree Nine

The projective normality of smooth, linearly normal surfaces of degree 9 in P is studied. All non projectively normal surfaces which are not scrolls over a curve are classified. Results on the projective normality of surface scrolls are also given.

Research Article Topological Classification of Conformal Actions on pq-Hyperelliptic Riemann Surfaces

Regular Cyclic Actions on Complex Projective Space with Codimension-two Fixed Points

If M2n is a cohomology CPn and p is an odd prime, let G p be the cyclic group of order p. A Type I I0 G p action on M2n is an action with fixed point set a codimension-2 submanifold and an isolated point. A Type I I0 G p action is standard if it is regular and the degree of the fixed codimension-2 submanifold is one. If n is odd and M2n admits a standard G p action of Type I I0, then every Type...