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arxiv: math/0607724 · v1 · submitted 2006-07-27 · 🧮 math.NT

Intersection numbers of Heegner divisors on Shimura curves

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keywords curvesdivisorsheegnerintersectionnumbersformulasintegralmodels
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We compute the arithmetic intersection numbers of certain Heegner divisors on integral models of Shimura curves over Q. Our formulas generalize the formulas of Gross-Kohnen-Zagier for intersection numbers of Heegner divisors on integral models of modular curves.

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