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A Gross-Kohnen-Zagier formula for Heegner-Drinfeld cycles.
- Source :
-
Advances in Mathematics . Jul2019, Vol. 351, p117-194. 78p. - Publication Year :
- 2019
-
Abstract
- Let F be the field of rational functions on a smooth projective curve over a finite field, and let π be an unramified cuspidal automorphic representation for PGL 2 over F. We prove a variant of the formula of Yun and Zhang relating derivatives of the L -function of π to the self-intersections of Heegner-Drinfeld cycles on moduli spaces of shtukas. In our variant, instead of a self-intersection, we compute the intersection pairing of Heegner-Drinfeld cycles coming from two different quadratic extensions of F , and relate the intersection to the r -th derivative of a product of two toric period integrals. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE fields
*SMOOTHNESS of functions
*ALGEBRAIC cycles
*INTERSECTION theory
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 351
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 137266381
- Full Text :
- https://doi.org/10.1016/j.aim.2019.05.005