## Lönne : Monodromy groups of regular elliptic surfaces

- M.
- Math . Z .
- 2002

@inproceedings{LoenneFundamentalGO, title={Fundamental groups of moduli stacks of smooth Weierstrass fibrations}, author={Michael Loenne} }

We give finite presentations for the fundamental group of moduli stacks of smooth Weierstrass curves over P n which extend the classical result for ellip-tic curves to positive dimensional base. We thus get natural generalisations of SL 2 Z presented in terms of (1 1 0 1), 1 0 −1 1 and pave the way to understanding the fundamental group of moduli stacks of elliptic surfaces in general. Our approach exploits the natural Z 2-action on Weierstrass curves and the identification of Z 2-fixed loci… CONTINUE READING