Orbifold Euler characteristics of universal cotangent line bundles on M_1,n

2000/05/22 by Y. -P. Lee, Y. P. Lee, Lee, Y. -P.
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG

paper · pdf · doi:10.48550/arxiv.math/0005217

openalex publication_date 2000/05/22 · arxiv created 2004/07/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A scheme of computing χ(\mbar_1,n, L₁^{⊗ d₁}⊗ ... ⊗ L_n^{⊗ d_n}) is given. Here \mbar_1,n is the moduli space of n-pointed stable curves of genus one and L_i are the universal cotangent line bundles defined by x_i^*(ω_C/M), where C → \mbar_1,n is the universal curve, ω_C/M the relative dualizing sheaf and x_i the marked point. This work is a sequel to \citeYL1.

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