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- W4251139027 abstract "This chapter treats the case of odd i and m = . The L-functions considered in the sequel will be those defined by the cohomology space Hi. Beilinson’s third conjecture regards this situation for smooth, projective varieties over ℚ, and reduces to a weakened form of the Birch & Swinnerton-Dyer Conjectures in the case of an elliptic curve or an abelian variety over ℚ. The elliptic regulator is generalized to become the determinant of an arithmetic intersection index on arithmetic varieties on Spec(ℤ), thus enlarging Arakelov’s construction of the Néron-Tate height pairing. This generalized height pairing was constructed by Beilinson and, independently, by Gillet and Soulé. In [Bl4] Bloch defines another height pairing for algebraic cycles." @default.
- W4251139027 created "2022-05-12" @default.
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- W4251139027 date "1994-01-01" @default.
- W4251139027 modified "2023-10-18" @default.
- W4251139027 title "Arithmetic intersections and Beilinson’s third conjecture" @default.
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- W4251139027 doi "https://doi.org/10.1007/978-3-663-09505-7_8" @default.
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