Abstract
In this paper, we construct the first examples of complex surfaces of general type with arbitrarily large geometric genus whose canonical maps induce non-hyperelliptic fibrations of genus , and on the other hand, we prove that there is no complex surface of general type whose canonical map induces a hyperelliptic fibrations of genus if the geometric genus is large.
| Original language | English |
|---|---|
| Pages (from-to) | 209-229 |
| Number of pages | 21 |
| Journal | Journal of the Institute of Mathematics of Jussieu |
| Volume | 19 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2020 |
Keywords
- canonical map
- canonically fibered surface
- hyperelliptic fibration
- non-hyperelliptic fibration