English

Recursive formula for psi^g - lambda_1 psi^{g-1} + ... + (-1)^g lambda_g in \Mbar_{g,1}

Algebraic Geometry 2007-05-23 v1

Abstract

Mumford proved that psi^g - lambda_1 psi^{g-1} + ... + (-1)^g lambda_g = 0 in the Chow ring of M_{g,1} [Mum83]. We find an explicit recursive formula for psi^g - lambda_1 psi^{g-1} + ... + (-1)^g lambda_g in the tautological ring of \Mbar_{g,1} as a combination of classes supported on boundary strata.

Cite

@article{arxiv.math/0605343,
  title  = {Recursive formula for psi^g - lambda_1 psi^{g-1} + ... + (-1)^g lambda_g in \Mbar_{g,1}},
  author = {D. Arcara and F. Sato},
  journal= {arXiv preprint arXiv:math/0605343},
  year   = {2007}
}

Comments

5 pages