Sectional monodromy groups of projective curves
@article{Kadets2018SectionalMG, title={Sectional monodromy groups of projective curves}, author={Borys Kadets}, journal={arXiv: Algebraic Geometry}, year={2018} }
Fix a degree $d$ projective curve $X \subset \mathbb{P}^r$ over an algebraically closed field $K$. Let $U \subset (\mathbb{P}^r)^*$ be a dense open subvariety such that every hyperplane $H \in U$ intersects $X$ in $d$ smooth points. Varying $H \in U$ produces the monodromy action $\varphi: \pi_1^{\text{et}}(U) \to S_d$. Let $G_X := \mathrm{im}(\varphi)$. The permutation group $G_X$ is called the sectional monodromy group of $X$. In characteristic zero $G_X$ is always the full symmetric group… Expand
One Citation
References
SHOWING 1-10 OF 22 REFERENCES
Monodromy of Hyperplane Sections of Curves and Decomposition Statistics over Finite Fields
- Mathematics
- 2018
- 8
- PDF
PRIMITIVE PERMUTATION GROUPS CONTAINING A CYCLE
- Mathematics
- Bulletin of the Australian Mathematical Society
- 2013
- 35
- PDF
Alternating group coverings of the affine line for characteristic two
- Computer Science, Mathematics
- Discret. Math.
- 1994
- 18
- PDF