1998/10/08 by Richard Hain, Hain, Richard, David Reed +1 · 1 citation
Mathematics · #14H10 #20J05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #math.AG #math.GT #msc:14H10 #msc:20J05
paper · pdf · doi:10.48550/arxiv.math/9810054
Latex2e, 15 pages. In this revised version, the statements of the main results remain the same, but one proof has been clarified and improved
openalex publication_date 1998/10/08 · arxiv created 2000/03/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.