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

D. Arcara; F. Sato

arxiv: math/0605343 · v1 · submitted 2006-05-12 · 🧮 math.AG

Recursive formula for psi^g - lambda₁ psi^(g-1) + ... + (-1)^g lambda_g in Mbar_(g,1)

D. Arcara , F. Sato This is my paper

classification 🧮 math.AG

keywords lambdaformulambarrecursiveringboundarychowclasses

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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.

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Recursive formula for psi^g - lambda₁ psi^(g-1) + ... + (-1)^g lambda_g in Mbar_(g,1)

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