科研之友
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摘要
In this paper we solve the problem proposed by Xiao about the existence of surfaces with p(g) = 4, K-X(2) = 9 and canonical map composed with a pencil [X4]. In fact we show that such surfaces do not exist. As a consequence of our non-existence result we obtain the new bound K-X(2) greater than or equal to 4p(g) - 6 where X is a minimal surface of general type with canonical map composed with a pencil and p(g) (X) greater than or equal to 3.
- 出版日期1998-9-28
