32 citations · 61 across the 26 of their papers we have counts for
3 papers · 2 filters
Modularity of generating series of winding numbers
Jan H. Bruinier, Jens Funke, Özlem Imamoglu +1
The Shimura correspondence connects modular forms of integral weights and half-integral weights. One of the directions is realized by the Shintani lift, where the inputs are holomo…
Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications
Jan Bruinier, Benjamin Howard, Stephen S. Kudla +2
We prove two formulas in the style of the Gross-Zagier theorem, relating derivatives of L-functions to arithmetic intersection pairings on a unitary Shimura variety. We also prove…
Modularity of generating series of divisors on unitary Shimura varieties
Jan Bruinier, Benjamin Howard, Stephen S. Kudla +2
We form generating series of special divisors, valued in the Chow group and in the arithmetic Chow group, on the compactified integral model of a Shimura variety associated to a un…