Abstract
Let \(\) be the complexified Coxeter arrangement of hyperplanes of type An−1 (n≥ 3). It is well known that the “minimal” projective De Concini–Procesi model \(\) of \(\) is isomorphic to the moduli space \(\) of stable n plus;1-pointed curves of genus 0. In this paper we study, from the point of view of models of arrangements, the action of the symmetric group Σn on the integer cohomology ring \(\) of \(\). In fact we find a formula for the generalized Poincare series which encodes all the information about this representation of Σn. This formula, which is obtained by using the elementary combinatorial properties of a ℤ-basis of \(\) and turns out to be very direct, should be compared with a more general result due to Getzler (see [5]).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
