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- W2949877693 abstract "We compute the second variation of the lambda-invariant, recently introduced by S. Zhang, on the complex moduli space M_g of curves of genus g>1, using work of N. Kawazumi. As a result we prove that (8g+4)lambda is equal, up to a constant, to the beta-invariant introduced some time ago by R. Hain and D. Reed. We deduce some consequences; for example we calculate the lambda-invariant for each hyperelliptic curve, expressing it in terms of the Petersson norm of the discriminant modular form." @default.
- W2949877693 created "2019-06-27" @default.
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- W2949877693 date "2010-02-08" @default.
- W2949877693 modified "2023-09-27" @default.
- W2949877693 title "Second variation of Zhang's lambda-invariant on the moduli space of curves" @default.
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