This paper addresses the question of determining, for a given graph G, all regular maps having G as their underlying graph, i.e., all embeddings of G in closed surfaces exhibiting the highest possible symmetry. We show that if G satisfies certain natural conditions, then all orientable regular embed
Regular canonical covers
β Scribed by Ciro Ciliberto; Rita Pardini; Francesca Tovena
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 186 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
We construct three sequences of regular surfaces of general type with unbounded numerical invariants whose canonical map is 2βtoβ1 onto a canonically embedded surface. Only sporadic examples of surfaces with these properties were previously known.
π SIMILAR VOLUMES
A covering projection from a graph G onto a graph H is a ``local isomorphism'': a mapping from the vertex set of G onto the vertex set of H such that, for every v # V(G), the neighborhood of v is mapped bijectively onto the neighborhood (in H ) of the image of v. We investigate two concepts that con