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

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

2006-05-12

arxiv.org/abs/math/0605343v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

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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