Chow groups and<i>L</i>-derivatives of automorphic motives for unitary groups, II.
Chao Li, Yifeng Liu
Abstract
Abstract In this article, we improve our main results from [LL21] in two directions: First, we allow ramified places in the CM extension $E/F$ at which we consider representations that are spherical with respect to a certain special maximal compact subgroup, by formulating and proving an analogue of the Kudla–Rapoport conjecture for exotic smooth Rapoport–Zink spaces. Second, we lift the restriction on the components at split places of the automorphic representation, by proving a more general vanishing result on certain cohomology of integral models of unitary Shimura varieties with Drinfeld level structures.
Topics & Concepts
Unitary stateMathematicsAutomorphic formPure mathematicsConjectureLift (data mining)CohomologyExtension (predicate logic)Algebra over a fieldUnitary groupAutomorphic L-functionGroup (periodic table)Representation (politics)Computer sciencePhysicsPoliticsQuantum mechanicsProgramming languagePolitical scienceData miningLawAdvanced Algebra and GeometryAlgebraic Geometry and Number TheoryGeometry and complex manifolds