|
|
| |
| Modular Invariants and Singularity Indices of Hyperelliptic Fibrations |
| |
Citation： |
Xiaolei LIU.Modular Invariants and Singularity Indices of Hyperelliptic Fibrations[J].Chinese Annals of Mathematics B,2016,37(6):875~890 |
| Page view： 1776
Net amount： 1193 |
Authors： |
Xiaolei LIU; |
|
|
| Abstract： |
The modular invariants of a family of curves are the degrees of the
pullback of the corresponding divisors by the moduli map. The
singularity indices were introduced by Xiao (1991) to classify
singular fibers of hyperelliptic fibrations and to compute global
invariants locally. In semistable case, the author shows that the
modular invariants corresponding to the boundary divisor classes are
just the singularity indices. As an application, the author shows
that the formula of Xiao for relative Chern numbers is the same as
that of Cornalba-Harris in semistable case. |
Keywords： |
Modular invariants, Singularity indices, Moduli space of curves |
Classification： |
14D06, 14D22, 14H10 |
|
|
Download PDF Full-Text
|
|
|
|
