25 citations · 132 across the 31 of their papers we have counts for
9 papers · 1 filter
On the p-adic uniformization of unitary Shimura curves
Stephen Kudla, Michael Rapoport, Thomas Zink
We prove -adic uniformization for Shimura curves attached to the group of unitary similitudes of certain binary skew hermitian spaces with respect to an arbitrary CM field $…
A note about special cycles on moduli spaces of K3 surfaces
Stephen Kudla
We describe the application of the results of Kudla-Millson on the modularity of generating series for cohomology classes of special cycles to the case of lattice polarized K3 surf…
Another product for a Borcherds form
Stephen Kudla
In his celebrated 1998 Inventiones paper, Borcherds constructed meromorphic automorphic forms Psi(F) for arithmetic subgroups associated to even integral lattices M of signature (n…
New cases of p-adic uniformization
Stephen Kudla, Michael Rapoport
We prove a Cherednik style -adic uniformization theorem for Shimura varieties associated to certain groups of unitary similitudes of size two over totally real fields. Our basic…
On occult period maps
Stephen Kudla, Michael Rapoport
We consider the "occult" period maps into ball quotients which exist for the moduli spaces of cubic surfaces, cubic threefolds, non-hyperelliptic curves of genus three and four. Th…
Special cycles on unitary Shimura varieties II: global theory
Stephen Kudla, Michael Rapoport
We introduce moduli spaces of abelian varieties which are arithmetic models of Shimura varieties attached to unitary groups of signature (n-1, 1). We define arithmetic cycles on th…