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- W2070018373 abstract "Abstract We present an arithmetic intersection theory for hermitian line bundles on arithmetic surfaces, where the metrics are allowed to have logarithmic singularities at a finite set of points. Using this theory we show that the generalized arithmetic self-intersection number of the line bundle of modular forms equipped with its canonical metric equals ζ q (−1) + 2 · ζ ′ Q (−1) up to a trivial factor, where ζ Q ( s ) denotes the Riemann zeta function." @default.
- W2070018373 created "2016-06-24" @default.
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- W2070018373 date "2001-01-25" @default.
- W2070018373 modified "2023-10-16" @default.
- W2070018373 title "Generalized arithmetic intersection numbers" @default.
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- W2070018373 doi "https://doi.org/10.1515/crll.2001.043" @default.
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