Special cycles, modularity and arithmetic intersection · Question 4
Arithmetic intersection theory on Shimura varieties · Historical workshop question
Editorial mapping of AIMPL source category: Number theory. http://aimpl.org/intersectshimura/ Not an author-supplied MSC code.
Problem statement
In the formulation of the arithmetic fundamental lemma, arithmetic intersection numbers are only formulated for regular semi-simple orbits because of proper intersections of cycles. Is it possible to define arithmetic intersection numbers in case of improper intersections of cycles (and formulate a similar analytic side)?
Lean 4
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Historical workshop record. Current open/solved status has not been independently reassessed.
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- [1]Arithmetic intersection theory on Shimura varieties link
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