Geometric Proofs of Some Results of Morita
Richard Hain, David Reed
TL;DR
This paper provides geometric proofs and interpretations of several of Morita's results concerning cohomology classes of moduli spaces of curves, aiming to aid their application in Arakelov geometry.
Contribution
It introduces geometric formulations and proofs for three of Morita's results and offers a geometric interpretation of a fourth, enhancing understanding and applicability.
Findings
Geometric proofs of Morita's cohomology results
Geometric interpretation of Morita's fourth result
Facilitation of applications in Arakelov geometry
Abstract
In this note we give geometric formulations and proofs of three results of S. Morita. These results relate certain two dimensional cohomology classes of various moduli spaces of curves. We also give a geometric interpretation of a fourth result of Morita. One motivation of this work is to facilitate the application of these results in our work (in preparation) on the Arakelov geometry of moduli spaces of curves.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry