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Arithmetic volumes of unitary Shimura varieties / Jan Hendrik Bruinier, Benjamin Howard.
Math/Physics/Astronomy Library QA3 .A57 no.1619
By Request
- Format:
- Book
- Author/Creator:
- Bruinier, Jan H. (Jan Hendrik), 1971- author.
- Howard, Benjamin, author.
- Series:
- Memoirs of the American Mathematical Society ; volume 318, number 1619.
- Memoirs of the American Mathematical Society, 0065-9266 ; volume 318, number 1619
- Language:
- English
- Subjects (All):
- Number theory.
- Geometry, Algebraic.
- Physical Description:
- v, 119 pages ; 26 cm.
- Place of Publication:
- Providence, RI : American Mathematical Society, 2026.
- Summary:
- The integral model of a GU(n -- 1, 1) Shimura variety carries a universal abelian scheme over it, and the dual top exterior power of its Lie algebra carries a natural hermitian metric. We express the arithmetic volume of this metrized line bundle, defined as an iterated self-intersection in the arithmetic Chow ring, in terms of logarithmic derivatives of Dirichlet -functions. We also determine the arithmetic volumes of Kudla-Rapoport divisors and relate them to coefficients of Eisenstein series.
- Notes:
- Includes bibliographical references (pages 117-119).
- ISBN:
- 1470480182
- 9781470480189
- OCLC:
- 1579824281
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