Geodesic
On class number relations and intersections over function fields
Documenta mathematica, Tome 27 (2022), pp. 1321-1368.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

The aim of this paper is to study class number relations over function fields and the intersections of Hirzebruch-Zagier type divisors on the Drinfeld-Stuhler modular surfaces. The main bridge is a particular ``harmonic'' theta series with nebentypus. Using the strong approximation theorem, the Fourier coefficients of this series are expressed in two ways; one comes from modified Hurwitz class numbers and another gives the intersection numbers in question.
Classification : 11R58, 11R29, 11F30, 11G18, 11F27
Keywords: function field, class number relation, Hirzebruch-Zagier divisor, Drinfeld-type automorphic form, metaplectic form 
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     title = {On class number relations and intersections over function fields},
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Guo, Jia-Wei; Wei, Fu-Tsun. On class number relations and intersections over function fields. Documenta mathematica, Tome 27 (2022), pp. 1321-1368. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a32/