Abstract
Let \(\Sigma _b\) be a closed Riemann surface of genus b. We give an account of some results obtained in the recent papers [6, 18, 19] and concerning what we call here pure braid quotients, namely, non-abelian finite groups appearing as quotients of the pure braid group on two strands \(\textsf{P}_2(\Sigma _b)\). We also explain how these groups can be used in order to provide new constructions of double Kodaira fibrations.
To Professor Ciro Ciliberto on the occasion of his 70th birthday.
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Acknowledgements
F. Polizzi was partially supported by GNSAGA-INdAM. Both authors thank A. Causin for drawing the figures.
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Polizzi, F., Sabatino, P. (2023). Finite Quotients of Surface Braid Groups and Double Kodaira Fibrations. In: Dedieu, T., Flamini, F., Fontanari, C., Galati, C., Pardini, R. (eds) The Art of Doing Algebraic Geometry. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-11938-5_15
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