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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A compactification of the moduli space of self-maps of $\mathbb {CP}^1$ via stable maps
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by Johannes Schmitt PDF
Conform. Geom. Dyn. 21 (2017), 273-318 Request permission

Abstract:

We present a new compactification $M(d,n)$ of the moduli space of self-maps of $\mathbb {CP}^1$ of degree $d$ with $n$ markings. It is constructed via GIT from the stable maps moduli space $\overline M_{0,n}(\mathbb {CP}^1 \times \mathbb {CP}^1, (1,d))$. We show that it is the coarse moduli space of a smooth Deligne-Mumford stack and we compute its rational Picard group.
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Additional Information
  • Johannes Schmitt
  • Affiliation: Departement Mathematik, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland
  • MR Author ID: 1074251
  • Email: johannes.schmitt@math.ethz.ch
  • Received by editor(s): November 30, 2016
  • Received by editor(s) in revised form: July 25, 2017
  • Published electronically: October 12, 2017
  • Additional Notes: The author was supported by grant SNF-200020162928
  • © Copyright 2017 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 21 (2017), 273-318
  • MSC (2010): Primary 37F10, 14D23, 14L30
  • DOI: https://doi.org/10.1090/ecgd/313
  • MathSciNet review: 3711376