Arithmetic Hirzebruch Zagier cycles
| dc.creator | Kudla, S. | |
| dc.creator | Rapoport, M. | |
| dc.date | 1999-04-16 | |
| dc.date.accessioned | 2026-07-07T05:28:43Z | |
| dc.date.available | 2026-07-07T05:28:43Z | |
| dc.description | We define special cycles on arithmetic models of twisted Hilbert-Blumenthal surfaces at primes of good reduction. These are arithmetic versions of these cycles. In particular, we characterize the non-degenerate intersections and partially determine the generating series formed from the intersection numbers of them relating it to the value at the center of symmetry of the derivative of a certain metaplectic Eisenstein series in 6 variables. These results are analogous to those obtained by us in the case of Siegel threefolds (alg-geom/9711025). We also study the case of degenerate intersections and show that in this case the intersection locus is a configuration of projective lines whose dual graph is described in terms of subcomplexes of the Bruhat-Tits building of PGL(2,F), where F is an unramified quadratic extension of Q_p. | |
| dc.description | 106 pages | |
| dc.identifier | https://arxiv.org/abs/math/9904083 | |
| dc.identifier | http://arxiv.org/abs/math/9904083 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78366 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Arithmetic Hirzebruch Zagier cycles | |
| dc.type | text |