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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cohomology rings of moduli of point configurations on the projective line
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by Hans Franzen and Markus Reineke PDF
Proc. Amer. Math. Soc. 146 (2018), 2327-2341 Request permission

Abstract:

We describe the Chow rings of moduli spaces of ordered configurations of points on the projective line for arbitrary (sufficiently generic) stabilities. As an application, we exhibit such a moduli space admitting two small desingularizations with non-isomorphic cohomology rings.
References
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Additional Information
  • Hans Franzen
  • Affiliation: Faculty of Mathematics, Ruhr-Universität Bochum, Universitätsstr. 150, 44780 Bochum, Germany
  • MR Author ID: 1099798
  • Email: hans.franzen@rub.de
  • Markus Reineke
  • Affiliation: Faculty of Mathematics, Ruhr-Universität Bochum, Universitätsstr. 150, 44780 Bochum, Germany
  • MR Author ID: 622884
  • Email: markus.reineke@rub.de
  • Received by editor(s): December 9, 2016
  • Received by editor(s) in revised form: July 26, 2017
  • Published electronically: March 9, 2018
  • Additional Notes: This research was supported by DFG SFB/Transregio 191 “Symplektische Strukturen in Geometrie, Algebra und Dynamik”.
  • Communicated by: Jerzy Weyman
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 2327-2341
  • MSC (2010): Primary 14D22; Secondary 14N10, 16G20
  • DOI: https://doi.org/10.1090/proc/14024
  • MathSciNet review: 3778138