Sectional monodromy groups of projective curves

@article{Kadets2018SectionalMG,
  title={Sectional monodromy groups of projective curves},
  author={Borys Kadets},
  journal={arXiv: Algebraic Geometry},
  year={2018}
}
  • Borys Kadets
  • Published 2018
  • Mathematics
  • arXiv: Algebraic Geometry
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
1 Citations

Figures and Tables from this paper

References

SHOWING 1-10 OF 22 REFERENCES
p-adic numbers
  • 190
Curves in projective space
  • 259
  • PDF
The genus of space curves
  • 109
PRIMITIVE PERMUTATION GROUPS CONTAINING A CYCLE
  • G. Jones
  • Mathematics
  • Bulletin of the Australian Mathematical Society
  • 2013
  • 35
  • PDF
Alternating group coverings of the affine line for characteristic two
  • 18
  • PDF
On the Gauss maps of space curves in characteristic p
  • 42
  • PDF
Mathieu group coverings in characteristic two
  • 10
Galois theory on the line in nonzero characteristic
  • 80
  • PDF
...
1
2
3
...