Abstract
The Weyl group W(E6) has an odd presentation due to Christopher Simons as factor group of the Coxeter group on the Petersen graph by deflation of the free hexagons. The goal of this paper is to give a geometric meaning for this presentation, coming from the action of W(E6) on the moduli space of marked maximally real cubic surfaces and its natural tessellation as seen through the period map of Allcock, Carlson and Toledo.
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© 2016 Springer International Publishing Switzerland
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Heckman, G., Rieken, S. (2016). An Odd Presentation for W(E6). In: Faber, C., Farkas, G., van der Geer, G. (eds) K3 Surfaces and Their Moduli. Progress in Mathematics, vol 315. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29959-4_5
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DOI: https://doi.org/10.1007/978-3-319-29959-4_5
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-29958-7
Online ISBN: 978-3-319-29959-4
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