Garcia, LE;
Sankaran, S;
(2019)
Green forms and the arithmetic Siegel–Weil formula.
Inventiones mathematicae
, 215
(3)
pp. 863-975.
10.1007/s00222-018-0839-4.
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Abstract
We construct natural Green forms for special cycles in orthogonal and unitary Shimura varieties, in all codimensions, and, for compact Shimura varieties of type O(p, 2) and U(p, 1), we show that the resulting local archimedean height pairings are related to special values of derivatives of Siegel Eisentein series. A conjecture put forward by Kudla relates these derivatives to arithmetic intersections of special cycles, and our results settle the part of his conjecture involving local archimedean heights.
| Type: | Article |
|---|---|
| Title: | Green forms and the arithmetic Siegel–Weil formula |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00222-018-0839-4 |
| Publisher version: | https://doi.org/10.1007/s00222-018-0839-4 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10086958 |
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