Linear forms, algebraic cycles, and derivatives of L-series

Shouwu Zhang

doi:10.1007/s11425-019-1589-7

Linear forms, algebraic cycles, and derivatives of L-series

Shouwu Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this note, we state some refinements of conjectures of Gan-Gross-Prasad and Kudla concerning the central derivatives of L-series and special cycles on Shimura varieties. The analogues of our formulation for special values of L-series are written in terms of invariant linear forms on autormorphic representations defined by integrations of matrix coefficients.

Original language	English (US)
Pages (from-to)	2401-2408
Number of pages	8
Journal	Science China Mathematics
Volume	62
Issue number	11
DOIs	https://doi.org/10.1007/s11425-019-1589-7
State	Published - Nov 1 2019

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

11F67
11J20
14C25
L-series
algebraic cycles
derivatives
linear forms

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10.1007/s11425-019-1589-7

Cite this

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abstract = "In this note, we state some refinements of conjectures of Gan-Gross-Prasad and Kudla concerning the central derivatives of L-series and special cycles on Shimura varieties. The analogues of our formulation for special values of L-series are written in terms of invariant linear forms on autormorphic representations defined by integrations of matrix coefficients.",

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AB - In this note, we state some refinements of conjectures of Gan-Gross-Prasad and Kudla concerning the central derivatives of L-series and special cycles on Shimura varieties. The analogues of our formulation for special values of L-series are written in terms of invariant linear forms on autormorphic representations defined by integrations of matrix coefficients.

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KW - 11J20

KW - 14C25

KW - L-series

KW - algebraic cycles

KW - derivatives

KW - linear forms

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UR - https://www.scopus.com/pages/publications/85074527026#tab=citedBy

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M3 - Article

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SP - 2401

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ER -

Linear forms, algebraic cycles, and derivatives of L-series

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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