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arxiv: 1904.11479 · v1 · pith:2QAVEFUNnew · submitted 2019-04-25 · 🧮 math.NT

A Gross-Kohnen-Zagier type formula for moduli of shtukas with Iwahori level structures

classification 🧮 math.NT
keywords iwahoriintersectionlevelmodulicasecertaincomingcycles
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In this paper I'm going to study the intersection of two Heegner-Drinfeld cycles coming from two different nonsplit tori on the Yun-Zhang moduli stack of $PGL_2$ Drinfeld stukas with Iwahori level structure. We will see that the intersection number is related to a certain period integral. It is an extension of the result by Howard-Shinidman to the Iwahori case.

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