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Authors:	E. Batzies

Affiliation:	Fachbereich Mathematik und Informatik, Universität Marburg, 35032 Marburg, Germany

Abstract:	We establish a homeomorphism between the moduli space $A_{4,k}^{rm ord}(mathbb{R})$ of ordered -tuples of 2-dimensional linear subspaces $H_i subset mathbb{R}^4$ (mod ${rm GL}_4(mathbb{R})$ ) and the quotient by simultaneous conjugation of a certain open subset $({rm GL}_2^{k-3})^* subset ({rm GL}_2(mathbb{R}))^{k-3}$ . For , this leads to an explicit computation of the moduli space $A_{4,4}(mathbb{R})$ of central 2-arrangements in $mathbb{R}^4$ mod ${rm GL}_4(mathbb{R})$ and its subspace $A_{2,4}({mathbb{C}})$ of those classes that contain a complex hyperplane arrangement.

Keywords:	Arrangements

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