首页 | 本学科首页   官方微博 | 高级检索  
     


planes in
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 $ k$-tuples $ (H_1,ldots ,H_k)$ 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 $ k=4$, 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
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号