# Connected algebraic groups acting on 3-dimensional Mori fibrations

@article{Blanc2019ConnectedAG, title={Connected algebraic groups acting on 3-dimensional Mori fibrations}, author={J. Blanc and A. Fanelli and R. Terpereau}, journal={arXiv: Algebraic Geometry}, year={2019} }

We study the connected algebraic groups acting on Mori fibrations $X \to Y$ with $X$ a rational threefold and $\mathrm{dim}(Y) \geq 1$. More precisely, for these fibre spaces we consider the neutral component of their automorphism groups and study their equivariant birational geometry. This is done using, inter alia, minimal model program and Sarkisov program and allows us to determine the maximal connected algebraic subgroups of $\mathrm{Bir}(\mathbb{P}^3)$, recovering most of the… Expand

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