Euler characteristics of universal cotangent line bundles on $\mbar_{1,n}$

Y. -P. Lee; F. Qu

Euler characteristics of universal cotangent line bundles on $\mbar_{1,n}$

Algebraic Geometry 2012-11-13 v1

Authors: Y. -P. Lee , F. Qu

Abstract

We give an effective algorithm to compute the Euler characteristics $\chi(\mbar_{1,n}, \otimes_{i=1}^n L_i^{d_i})$ . In addition, we give a simple proof of Pandharipande's vanishing theorem $H^j (\mbar_{0,n}, \otimes_{i=1}^n L_i^{d_i})=0$ for $j \ge 1, d_i \ge0$ .

Keywords

Euler characteristics universal cotangent line bundles moduli space of curves vanishing theorem algebraic geometry

Cite

@article{arxiv.1211.2450,
  title  = {Euler characteristics of universal cotangent line bundles on $\mbar_{1,n}$},
  author = {Y. -P. Lee and F. Qu},
  journal= {arXiv preprint arXiv:1211.2450},
  year   = {2012}
}

Comments

12 pages, to appear in Proceedings of the AMS

Related papers

View all related →