The Bicanonical Map of Surfaces with pg = 0 and K2 >= 7 |
| |
Authors: | Lopes Margarida Mendes; Pardini Rita |
| |
Institution: | Cmaf, Universidade de Lisboa Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal; mmlopes{at}lmc.fc.ul.pt
Dipartimento di Matematica, Università di Pisa Via Buonarroti 2, 56127 Pisa, Italy; pardini{at}dm.unipi.it |
| |
Abstract: | A minimal surface of general type with pg(S) = 0 satisfies 1 K2 9, and it is known that the image of the bicanonical map is a surface for , whilst for , the bicanonical map is always a morphism. In this paper it is shown that is birationalif , and that the degree of is at most 2 if or By presenting two examples of surfaces S with and 8 and bicanonical map of degree 2, it is alsoshown that this result is sharp. The example with is, to our knowledge, a new example of a surfaceof general type with pg = 0. The degree of is also calculated for two other known surfacesof general type with pg = 0 and . In both cases, the bicanonical map turns out to be birational. |
| |
Keywords: | |
本文献已被 Oxford 等数据库收录! |
|