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) |
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Pages (from-to) | 2401-2408 |
Number of pages | 8 |
Journal | Science China Mathematics |
Volume | 62 |
Issue number | 11 |
DOIs | |
State | Published - Nov 1 2019 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- 11F67
- 11J20
- 14C25
- L-series
- algebraic cycles
- derivatives
- linear forms