All-codimension cohomological Kudla conjecture for unitary Shimura varieties
All-codimension cohomological Kudla conjecture for unitary Shimura varieties
Let be the unitary group considered in the paper, and let denote the codimension of the special cycles. The paper's main completion and explicit-form statements concern corrected generating series and their modularity, with values in Chow groups. Cohomological Kudla conjecture in all codimensions. The statements of the paper's main completion result and main explicit-form result still hold for , with values in the Chow groups of all codimensions. This extends the paper's theorems beyond the proven range where ; the source explains that this restriction is an artifact of the proof and that the required Splitting Lemma is not known in general.
Sources & referencesView supporting material
Primary source
François Greer and Salim Tayou, “The cohomological Kudla conjecture for unitary Shimura varieties”, arXiv:2507.13299 (2026).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.