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Hyperbolic Geometry and the Moduli Space of Real Binary Sextics

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Arithmetic and Geometry Around Hypergeometric Functions

Part of the book series: Progress in Mathematics ((PM,volume 260))

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Abstract

The moduli space of real 6-tuples in ℂP 1 is modeled on a quotient of hyperbolic 3-space by a nonarithmetic lattice in IsomH 3. This is partly an expository note; the first part of it is an introduction to orbifolds and hyperbolic reflection groups.

First author partly supported by NSF grant DMS 0231585. Second and third authors partly supported by NSF grants DMS 9900543 and DMS 0200877.

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© 2007 Birkhäuser Verlag Basel/Switzerland

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Allcock, D., Carlson, J.A., Toledo, D. (2007). Hyperbolic Geometry and the Moduli Space of Real Binary Sextics. In: Holzapfel, RP., Uludağ, A.M., Yoshida, M. (eds) Arithmetic and Geometry Around Hypergeometric Functions. Progress in Mathematics, vol 260. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8284-1_1

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