Abstract
In this paper, we investigate the fundamental groups of Galois covers of planar Zappatic deformations of type Ek. Using Moishezon-Teicher's algorithm, we prove that the Galois covers of the generic fiber of planar Zappatic deformations of type Ek (k = 6, 7, 8, 9) are simply-connected; we also compute their Chern numbers.
| Original language | English |
|---|---|
| Pages (from-to) | 905-925 |
| Number of pages | 21 |
| Journal | International Journal of Algebra and Computation |
| Volume | 29 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1 Sep 2019 |
Bibliographical note
Publisher Copyright:© 2019 World Scientific Publishing Company.
Funding
The authors are grateful to Professor Ciro Ciliberto for many useful discussions about his work on degenerations of surfaces. This research was supported by the ISF-NSFC joint research program (Grant No. 2452/17). This work is partially supported by NSFC (Nos. 11731004, 11761141005, and 11601088), Natural Science Foundation of Jiangsu Province (No. 18KJB110026), and by STCSM (No. 18dz2271000).
| Funders | Funder number |
|---|---|
| ISF-NSFC | 2452/17 |
| National Natural Science Foundation of China | 11761141005, 11731004, 11601088 |
| Science and Technology Commission of Shanghai Municipality | 18dz2271000 |
| Natural Science Foundation of Jiangsu Province | 18KJB110026 |
Keywords
- Fundamental groups
- Galois cover
- Zappatic deformation
- braid monodromy factorization